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Finding the Fourth Proportional to 1,397.38, 2,091.96 and 847.90

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Solution

The fourth proportional to 1,397.38, 2,091.96 and 847.90 is: 1,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.38 : 2,091.96 = 847.90 : x
  2. Step 2: Convert to fraction form
    1,397.38/2,091.96 = 847.90/x
  3. Step 3: Cross multiply
    1,397.38x = 2,091.96 × 847.90
  4. Step 4: Simplify right side
    1,397.38x = 1,773,772.88
  5. Step 5: Solve for x
    x = 1,773,772.88/1,397.38
  6. Step 6: Final answer
    x = 1,269.36

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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.