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Finding the Fourth Proportional to 1,398.86, 1,930.22 and 902.18

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Solution

The fourth proportional to 1,398.86, 1,930.22 and 902.18 is: 1,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.86 : 1,930.22 = 902.18 : x
  2. Step 2: Convert to fraction form
    1,398.86/1,930.22 = 902.18/x
  3. Step 3: Cross multiply
    1,398.86x = 1,930.22 × 902.18
  4. Step 4: Simplify right side
    1,398.86x = 1,741,391.72
  5. Step 5: Solve for x
    x = 1,741,391.72/1,398.86
  6. Step 6: Final answer
    x = 1,244.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.