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Finding the Fourth Proportional to 1,591.16, 2,191.02 and 1,258.52

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Solution

The fourth proportional to 1,591.16, 2,191.02 and 1,258.52 is: 1,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.16 : 2,191.02 = 1,258.52 : x
  2. Step 2: Convert to fraction form
    1,591.16/2,191.02 = 1,258.52/x
  3. Step 3: Cross multiply
    1,591.16x = 2,191.02 × 1,258.52
  4. Step 4: Simplify right side
    1,591.16x = 2,757,442.49
  5. Step 5: Solve for x
    x = 2,757,442.49/1,591.16
  6. Step 6: Final answer
    x = 1,732.98

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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.