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Finding the Fourth Proportional to 2,118.08, 3,177.54 and 731.46

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Solution

The fourth proportional to 2,118.08, 3,177.54 and 731.46 is: 1,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.08 : 3,177.54 = 731.46 : x
  2. Step 2: Convert to fraction form
    2,118.08/3,177.54 = 731.46/x
  3. Step 3: Cross multiply
    2,118.08x = 3,177.54 × 731.46
  4. Step 4: Simplify right side
    2,118.08x = 2,324,244.64
  5. Step 5: Solve for x
    x = 2,324,244.64/2,118.08
  6. Step 6: Final answer
    x = 1,097.34

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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.