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Finding the Fourth Proportional to 1,730.84, 2,596.25 and 1,493.00

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Solution

The fourth proportional to 1,730.84, 2,596.25 and 1,493.00 is: 2,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.84 : 2,596.25 = 1,493.00 : x
  2. Step 2: Convert to fraction form
    1,730.84/2,596.25 = 1,493.00/x
  3. Step 3: Cross multiply
    1,730.84x = 2,596.25 × 1,493.00
  4. Step 4: Simplify right side
    1,730.84x = 3,876,180.80
  5. Step 5: Solve for x
    x = 3,876,180.80/1,730.84
  6. Step 6: Final answer
    x = 2,239.49

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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.