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Finding the Fourth Proportional to 1,311.46, 1,962.87 and 1,167.46

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Solution

The fourth proportional to 1,311.46, 1,962.87 and 1,167.46 is: 1,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.46 : 1,962.87 = 1,167.46 : x
  2. Step 2: Convert to fraction form
    1,311.46/1,962.87 = 1,167.46/x
  3. Step 3: Cross multiply
    1,311.46x = 1,962.87 × 1,167.46
  4. Step 4: Simplify right side
    1,311.46x = 2,291,572.21
  5. Step 5: Solve for x
    x = 2,291,572.21/1,311.46
  6. Step 6: Final answer
    x = 1,747.34

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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.