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Finding the Fourth Proportional to 2,365.31, 3,547.82 and 721.71

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Solution

The fourth proportional to 2,365.31, 3,547.82 and 721.71 is: 1,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.31 : 3,547.82 = 721.71 : x
  2. Step 2: Convert to fraction form
    2,365.31/3,547.82 = 721.71/x
  3. Step 3: Cross multiply
    2,365.31x = 3,547.82 × 721.71
  4. Step 4: Simplify right side
    2,365.31x = 2,560,498.98
  5. Step 5: Solve for x
    x = 2,560,498.98/2,365.31
  6. Step 6: Final answer
    x = 1,082.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.