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Finding the Fourth Proportional to 2,547.72, 3,512.57 and 1,708.56

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Solution

The fourth proportional to 2,547.72, 3,512.57 and 1,708.56 is: 2,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.72 : 3,512.57 = 1,708.56 : x
  2. Step 2: Convert to fraction form
    2,547.72/3,512.57 = 1,708.56/x
  3. Step 3: Cross multiply
    2,547.72x = 3,512.57 × 1,708.56
  4. Step 4: Simplify right side
    2,547.72x = 6,001,428.06
  5. Step 5: Solve for x
    x = 6,001,428.06/2,547.72
  6. Step 6: Final answer
    x = 2,355.61

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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.