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Finding the Fourth Proportional to 2,271.38, 3,407.92 and 732.38

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Solution

The fourth proportional to 2,271.38, 3,407.92 and 732.38 is: 1,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.38 : 3,407.92 = 732.38 : x
  2. Step 2: Convert to fraction form
    2,271.38/3,407.92 = 732.38/x
  3. Step 3: Cross multiply
    2,271.38x = 3,407.92 × 732.38
  4. Step 4: Simplify right side
    2,271.38x = 2,495,873.58
  5. Step 5: Solve for x
    x = 2,495,873.58/2,271.38
  6. Step 6: Final answer
    x = 1,098.84

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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.