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Finding the Fourth Proportional to 2,569.72, 3,545.58 and 1,625.44

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Solution

The fourth proportional to 2,569.72, 3,545.58 and 1,625.44 is: 2,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.72 : 3,545.58 = 1,625.44 : x
  2. Step 2: Convert to fraction form
    2,569.72/3,545.58 = 1,625.44/x
  3. Step 3: Cross multiply
    2,569.72x = 3,545.58 × 1,625.44
  4. Step 4: Simplify right side
    2,569.72x = 5,763,127.56
  5. Step 5: Solve for x
    x = 5,763,127.56/2,569.72
  6. Step 6: Final answer
    x = 2,242.71

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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.