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Finding the Fourth Proportional to 3,141.17, 4,712.51 and 949.76

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Solution

The fourth proportional to 3,141.17, 4,712.51 and 949.76 is: 1,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.17 : 4,712.51 = 949.76 : x
  2. Step 2: Convert to fraction form
    3,141.17/4,712.51 = 949.76/x
  3. Step 3: Cross multiply
    3,141.17x = 4,712.51 × 949.76
  4. Step 4: Simplify right side
    3,141.17x = 4,475,753.50
  5. Step 5: Solve for x
    x = 4,475,753.50/3,141.17
  6. Step 6: Final answer
    x = 1,424.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.