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Finding the Fourth Proportional to 3,141.14, 4,712.34 and 949.82

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Solution

The fourth proportional to 3,141.14, 4,712.34 and 949.82 is: 1,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.14 : 4,712.34 = 949.82 : x
  2. Step 2: Convert to fraction form
    3,141.14/4,712.34 = 949.82/x
  3. Step 3: Cross multiply
    3,141.14x = 4,712.34 × 949.82
  4. Step 4: Simplify right side
    3,141.14x = 4,475,874.78
  5. Step 5: Solve for x
    x = 4,475,874.78/3,141.14
  6. Step 6: Final answer
    x = 1,424.92

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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.