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Finding the Fourth Proportional to 3,134.47, 4,702.38 and 943.03

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Solution

The fourth proportional to 3,134.47, 4,702.38 and 943.03 is: 1,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.47 : 4,702.38 = 943.03 : x
  2. Step 2: Convert to fraction form
    3,134.47/4,702.38 = 943.03/x
  3. Step 3: Cross multiply
    3,134.47x = 4,702.38 × 943.03
  4. Step 4: Simplify right side
    3,134.47x = 4,434,485.41
  5. Step 5: Solve for x
    x = 4,434,485.41/3,134.47
  6. Step 6: Final answer
    x = 1,414.75

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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.