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Finding the Fourth Proportional to 2,569.48, 3,545.71 and 1,450.46

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Solution

The fourth proportional to 2,569.48, 3,545.71 and 1,450.46 is: 2,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.48 : 3,545.71 = 1,450.46 : x
  2. Step 2: Convert to fraction form
    2,569.48/3,545.71 = 1,450.46/x
  3. Step 3: Cross multiply
    2,569.48x = 3,545.71 × 1,450.46
  4. Step 4: Simplify right side
    2,569.48x = 5,142,915.76
  5. Step 5: Solve for x
    x = 5,142,915.76/2,569.48
  6. Step 6: Final answer
    x = 2,001.54

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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.