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Finding the Fourth Proportional to 1,541.24, 2,312.12 and 515

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Solution

The fourth proportional to 1,541.24, 2,312.12 and 515 is: 772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.24 : 2,312.12 = 515 : x
  2. Step 2: Convert to fraction form
    1,541.24/2,312.12 = 515/x
  3. Step 3: Cross multiply
    1,541.24x = 2,312.12 × 515
  4. Step 4: Simplify right side
    1,541.24x = 1,190,741.80
  5. Step 5: Solve for x
    x = 1,190,741.80/1,541.24
  6. Step 6: Final answer
    x = 772.59

Related Problems

Find fourth proportional to 770.62, 1,156.06 and 257.50
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.