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Finding the Fourth Proportional to 3,139.16, 4,706.30 and 1,494.65

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Solution

The fourth proportional to 3,139.16, 4,706.30 and 1,494.65 is: 2,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.16 : 4,706.30 = 1,494.65 : x
  2. Step 2: Convert to fraction form
    3,139.16/4,706.30 = 1,494.65/x
  3. Step 3: Cross multiply
    3,139.16x = 4,706.30 × 1,494.65
  4. Step 4: Simplify right side
    3,139.16x = 7,034,286.80
  5. Step 5: Solve for x
    x = 7,034,286.80/3,139.16
  6. Step 6: Final answer
    x = 2,240.82

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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.