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Finding the Fourth Proportional to 2,404.90, 3,606.81 and 1,105.12

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Solution

The fourth proportional to 2,404.90, 3,606.81 and 1,105.12 is: 1,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.90 : 3,606.81 = 1,105.12 : x
  2. Step 2: Convert to fraction form
    2,404.90/3,606.81 = 1,105.12/x
  3. Step 3: Cross multiply
    2,404.90x = 3,606.81 × 1,105.12
  4. Step 4: Simplify right side
    2,404.90x = 3,985,957.87
  5. Step 5: Solve for x
    x = 3,985,957.87/2,404.90
  6. Step 6: Final answer
    x = 1,657.43

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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.