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Finding the Fourth Proportional to 2,494.16, 3,737.12 and 1,105.41

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Solution

The fourth proportional to 2,494.16, 3,737.12 and 1,105.41 is: 1,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.16 : 3,737.12 = 1,105.41 : x
  2. Step 2: Convert to fraction form
    2,494.16/3,737.12 = 1,105.41/x
  3. Step 3: Cross multiply
    2,494.16x = 3,737.12 × 1,105.41
  4. Step 4: Simplify right side
    2,494.16x = 4,131,044.29
  5. Step 5: Solve for x
    x = 4,131,044.29/2,494.16
  6. Step 6: Final answer
    x = 1,656.29

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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.