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Finding the Fourth Proportional to 2,569.68, 3,545.76 and 1,450.56

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Solution

The fourth proportional to 2,569.68, 3,545.76 and 1,450.56 is: 2,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.68 : 3,545.76 = 1,450.56 : x
  2. Step 2: Convert to fraction form
    2,569.68/3,545.76 = 1,450.56/x
  3. Step 3: Cross multiply
    2,569.68x = 3,545.76 × 1,450.56
  4. Step 4: Simplify right side
    2,569.68x = 5,143,337.63
  5. Step 5: Solve for x
    x = 5,143,337.63/2,569.68
  6. Step 6: Final answer
    x = 2,001.55

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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.