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Finding the Fourth Proportional to 2,490.49, 3,730.32 and 1,609.92

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Solution

The fourth proportional to 2,490.49, 3,730.32 and 1,609.92 is: 2,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.49 : 3,730.32 = 1,609.92 : x
  2. Step 2: Convert to fraction form
    2,490.49/3,730.32 = 1,609.92/x
  3. Step 3: Cross multiply
    2,490.49x = 3,730.32 × 1,609.92
  4. Step 4: Simplify right side
    2,490.49x = 6,005,508.72
  5. Step 5: Solve for x
    x = 6,005,508.72/2,490.49
  6. Step 6: Final answer
    x = 2,411.38

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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.