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Finding the Fourth Proportional to 3,134.31, 4,701.47 and 942.81

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Solution

The fourth proportional to 3,134.31, 4,701.47 and 942.81 is: 1,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.31 : 4,701.47 = 942.81 : x
  2. Step 2: Convert to fraction form
    3,134.31/4,701.47 = 942.81/x
  3. Step 3: Cross multiply
    3,134.31x = 4,701.47 × 942.81
  4. Step 4: Simplify right side
    3,134.31x = 4,432,588.22
  5. Step 5: Solve for x
    x = 4,432,588.22/3,134.31
  6. Step 6: Final answer
    x = 1,414.22

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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.