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Finding the Fourth Proportional to 2,492.87, 3,737.16 and 1,105.44

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Solution

The fourth proportional to 2,492.87, 3,737.16 and 1,105.44 is: 1,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.87 : 3,737.16 = 1,105.44 : x
  2. Step 2: Convert to fraction form
    2,492.87/3,737.16 = 1,105.44/x
  3. Step 3: Cross multiply
    2,492.87x = 3,737.16 × 1,105.44
  4. Step 4: Simplify right side
    2,492.87x = 4,131,206.15
  5. Step 5: Solve for x
    x = 4,131,206.15/2,492.87
  6. Step 6: Final answer
    x = 1,657.21

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Why These Related Problems?

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