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Finding the Fourth Proportional to 2,569.45, 3,545.29 and 1,449.92

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Solution

The fourth proportional to 2,569.45, 3,545.29 and 1,449.92 is: 2,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.45 : 3,545.29 = 1,449.92 : x
  2. Step 2: Convert to fraction form
    2,569.45/3,545.29 = 1,449.92/x
  3. Step 3: Cross multiply
    2,569.45x = 3,545.29 × 1,449.92
  4. Step 4: Simplify right side
    2,569.45x = 5,140,386.88
  5. Step 5: Solve for x
    x = 5,140,386.88/2,569.45
  6. Step 6: Final answer
    x = 2,000.58

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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.