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Finding the Fourth Proportional to 2,547.75, 3,516.45 and 1,753.29

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Solution

The fourth proportional to 2,547.75, 3,516.45 and 1,753.29 is: 2,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.75 : 3,516.45 = 1,753.29 : x
  2. Step 2: Convert to fraction form
    2,547.75/3,516.45 = 1,753.29/x
  3. Step 3: Cross multiply
    2,547.75x = 3,516.45 × 1,753.29
  4. Step 4: Simplify right side
    2,547.75x = 6,165,356.62
  5. Step 5: Solve for x
    x = 6,165,356.62/2,547.75
  6. Step 6: Final answer
    x = 2,419.92

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