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Finding the Fourth Proportional to 1,311.97, 1,958.36 and 1,156.28

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Solution

The fourth proportional to 1,311.97, 1,958.36 and 1,156.28 is: 1,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.97 : 1,958.36 = 1,156.28 : x
  2. Step 2: Convert to fraction form
    1,311.97/1,958.36 = 1,156.28/x
  3. Step 3: Cross multiply
    1,311.97x = 1,958.36 × 1,156.28
  4. Step 4: Simplify right side
    1,311.97x = 2,264,419.20
  5. Step 5: Solve for x
    x = 2,264,419.20/1,311.97
  6. Step 6: Final answer
    x = 1,725.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.