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Finding the Fourth Proportional to 3,007.75, 4,146.90 and 1,943.72

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Solution

The fourth proportional to 3,007.75, 4,146.90 and 1,943.72 is: 2,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.75 : 4,146.90 = 1,943.72 : x
  2. Step 2: Convert to fraction form
    3,007.75/4,146.90 = 1,943.72/x
  3. Step 3: Cross multiply
    3,007.75x = 4,146.90 × 1,943.72
  4. Step 4: Simplify right side
    3,007.75x = 8,060,395.38
  5. Step 5: Solve for x
    x = 8,060,395.38/3,007.75
  6. Step 6: Final answer
    x = 2,679.87

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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.