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Finding the Fourth Proportional to 3,134.82, 4,702.86 and 943.74

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Solution

The fourth proportional to 3,134.82, 4,702.86 and 943.74 is: 1,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.82 : 4,702.86 = 943.74 : x
  2. Step 2: Convert to fraction form
    3,134.82/4,702.86 = 943.74/x
  3. Step 3: Cross multiply
    3,134.82x = 4,702.86 × 943.74
  4. Step 4: Simplify right side
    3,134.82x = 4,438,277.10
  5. Step 5: Solve for x
    x = 4,438,277.10/3,134.82
  6. Step 6: Final answer
    x = 1,415.80

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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.