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Finding the Fourth Proportional to 3,134.21, 4,701.92 and 943.16

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Solution

The fourth proportional to 3,134.21, 4,701.92 and 943.16 is: 1,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.21 : 4,701.92 = 943.16 : x
  2. Step 2: Convert to fraction form
    3,134.21/4,701.92 = 943.16/x
  3. Step 3: Cross multiply
    3,134.21x = 4,701.92 × 943.16
  4. Step 4: Simplify right side
    3,134.21x = 4,434,634.64
  5. Step 5: Solve for x
    x = 4,434,634.64/3,134.21
  6. Step 6: Final answer
    x = 1,414.92

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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.