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Finding the Fourth Proportional to 2,545.86, 3,512.25 and 1,601.31

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Solution

The fourth proportional to 2,545.86, 3,512.25 and 1,601.31 is: 2,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.86 : 3,512.25 = 1,601.31 : x
  2. Step 2: Convert to fraction form
    2,545.86/3,512.25 = 1,601.31/x
  3. Step 3: Cross multiply
    2,545.86x = 3,512.25 × 1,601.31
  4. Step 4: Simplify right side
    2,545.86x = 5,624,201.05
  5. Step 5: Solve for x
    x = 5,624,201.05/2,545.86
  6. Step 6: Final answer
    x = 2,209.16

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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.