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Finding the Fourth Proportional to 3,068.16, 4,234.16 and 1,741.84

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Solution

The fourth proportional to 3,068.16, 4,234.16 and 1,741.84 is: 2,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.16 : 4,234.16 = 1,741.84 : x
  2. Step 2: Convert to fraction form
    3,068.16/4,234.16 = 1,741.84/x
  3. Step 3: Cross multiply
    3,068.16x = 4,234.16 × 1,741.84
  4. Step 4: Simplify right side
    3,068.16x = 7,375,229.25
  5. Step 5: Solve for x
    x = 7,375,229.25/3,068.16
  6. Step 6: Final answer
    x = 2,403.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.