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Finding the Fourth Proportional to 3,142.70, 4,712.34 and 1,266.92

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Solution

The fourth proportional to 3,142.70, 4,712.34 and 1,266.92 is: 1,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.70 : 4,712.34 = 1,266.92 : x
  2. Step 2: Convert to fraction form
    3,142.70/4,712.34 = 1,266.92/x
  3. Step 3: Cross multiply
    3,142.70x = 4,712.34 × 1,266.92
  4. Step 4: Simplify right side
    3,142.70x = 5,970,157.79
  5. Step 5: Solve for x
    x = 5,970,157.79/3,142.70
  6. Step 6: Final answer
    x = 1,899.69

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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.