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Finding the Fourth Proportional to 2,569.69, 3,545.98 and 1,450.74

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Solution

The fourth proportional to 2,569.69, 3,545.98 and 1,450.74 is: 2,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.69 : 3,545.98 = 1,450.74 : x
  2. Step 2: Convert to fraction form
    2,569.69/3,545.98 = 1,450.74/x
  3. Step 3: Cross multiply
    2,569.69x = 3,545.98 × 1,450.74
  4. Step 4: Simplify right side
    2,569.69x = 5,144,291.40
  5. Step 5: Solve for x
    x = 5,144,291.40/2,569.69
  6. Step 6: Final answer
    x = 2,001.91

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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.