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Finding the Fourth Proportional to 2,209.38, 3,312.18 and 892.32

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Solution

The fourth proportional to 2,209.38, 3,312.18 and 892.32 is: 1,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.38 : 3,312.18 = 892.32 : x
  2. Step 2: Convert to fraction form
    2,209.38/3,312.18 = 892.32/x
  3. Step 3: Cross multiply
    2,209.38x = 3,312.18 × 892.32
  4. Step 4: Simplify right side
    2,209.38x = 2,955,524.46
  5. Step 5: Solve for x
    x = 2,955,524.46/2,209.38
  6. Step 6: Final answer
    x = 1,337.72

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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.