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Finding the Fourth Proportional to 1,714, 2,569.38 and 1,062.76

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Solution

The fourth proportional to 1,714, 2,569.38 and 1,062.76 is: 1,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714 : 2,569.38 = 1,062.76 : x
  2. Step 2: Convert to fraction form
    1,714/2,569.38 = 1,062.76/x
  3. Step 3: Cross multiply
    1,714x = 2,569.38 × 1,062.76
  4. Step 4: Simplify right side
    1,714x = 2,730,634.29
  5. Step 5: Solve for x
    x = 2,730,634.29/1,714
  6. Step 6: Final answer
    x = 1,593.14

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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.