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Finding the Fourth Proportional to 2,497.01, 3,742.52 and 1,108.78

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Solution

The fourth proportional to 2,497.01, 3,742.52 and 1,108.78 is: 1,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.01 : 3,742.52 = 1,108.78 : x
  2. Step 2: Convert to fraction form
    2,497.01/3,742.52 = 1,108.78/x
  3. Step 3: Cross multiply
    2,497.01x = 3,742.52 × 1,108.78
  4. Step 4: Simplify right side
    2,497.01x = 4,149,616.43
  5. Step 5: Solve for x
    x = 4,149,616.43/2,497.01
  6. Step 6: Final answer
    x = 1,661.84

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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.