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Finding the Fourth Proportional to 3,141.81, 4,711.05 and 949.95

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Solution

The fourth proportional to 3,141.81, 4,711.05 and 949.95 is: 1,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.81 : 4,711.05 = 949.95 : x
  2. Step 2: Convert to fraction form
    3,141.81/4,711.05 = 949.95/x
  3. Step 3: Cross multiply
    3,141.81x = 4,711.05 × 949.95
  4. Step 4: Simplify right side
    3,141.81x = 4,475,261.95
  5. Step 5: Solve for x
    x = 4,475,261.95/3,141.81
  6. Step 6: Final answer
    x = 1,424.42

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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.