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Finding the Fourth Proportional to 3,141.09, 4,711.80 and 949.85

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Solution

The fourth proportional to 3,141.09, 4,711.80 and 949.85 is: 1,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.09 : 4,711.80 = 949.85 : x
  2. Step 2: Convert to fraction form
    3,141.09/4,711.80 = 949.85/x
  3. Step 3: Cross multiply
    3,141.09x = 4,711.80 × 949.85
  4. Step 4: Simplify right side
    3,141.09x = 4,475,479.67
  5. Step 5: Solve for x
    x = 4,475,479.67/3,141.09
  6. Step 6: Final answer
    x = 1,424.82

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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.