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Finding the Fourth Proportional to 3,175.38, 4,382.10 and 1,778.10

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Solution

The fourth proportional to 3,175.38, 4,382.10 and 1,778.10 is: 2,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.38 : 4,382.10 = 1,778.10 : x
  2. Step 2: Convert to fraction form
    3,175.38/4,382.10 = 1,778.10/x
  3. Step 3: Cross multiply
    3,175.38x = 4,382.10 × 1,778.10
  4. Step 4: Simplify right side
    3,175.38x = 7,791,812.01
  5. Step 5: Solve for x
    x = 7,791,812.01/3,175.38
  6. Step 6: Final answer
    x = 2,453.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.