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Finding the Fourth Proportional to 2,492.44, 3,737.10 and 1,105.72

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Solution

The fourth proportional to 2,492.44, 3,737.10 and 1,105.72 is: 1,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.44 : 3,737.10 = 1,105.72 : x
  2. Step 2: Convert to fraction form
    2,492.44/3,737.10 = 1,105.72/x
  3. Step 3: Cross multiply
    2,492.44x = 3,737.10 × 1,105.72
  4. Step 4: Simplify right side
    2,492.44x = 4,132,186.21
  5. Step 5: Solve for x
    x = 4,132,186.21/2,492.44
  6. Step 6: Final answer
    x = 1,657.89

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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.