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Finding the Fourth Proportional to 2,369.32, 3,545.07 and 1,640.32

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Solution

The fourth proportional to 2,369.32, 3,545.07 and 1,640.32 is: 2,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.32 : 3,545.07 = 1,640.32 : x
  2. Step 2: Convert to fraction form
    2,369.32/3,545.07 = 1,640.32/x
  3. Step 3: Cross multiply
    2,369.32x = 3,545.07 × 1,640.32
  4. Step 4: Simplify right side
    2,369.32x = 5,815,049.22
  5. Step 5: Solve for x
    x = 5,815,049.22/2,369.32
  6. Step 6: Final answer
    x = 2,454.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.