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Finding the Fourth Proportional to 1,591.85, 2,197.02 and 928.70

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Solution

The fourth proportional to 1,591.85, 2,197.02 and 928.70 is: 1,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.85 : 2,197.02 = 928.70 : x
  2. Step 2: Convert to fraction form
    1,591.85/2,197.02 = 928.70/x
  3. Step 3: Cross multiply
    1,591.85x = 2,197.02 × 928.70
  4. Step 4: Simplify right side
    1,591.85x = 2,040,385.57
  5. Step 5: Solve for x
    x = 2,040,385.57/1,591.85
  6. Step 6: Final answer
    x = 1,281.77

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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.