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Finding the Fourth Proportional to 3,146.88, 4,724.10 and 2,382.24

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Solution

The fourth proportional to 3,146.88, 4,724.10 and 2,382.24 is: 3,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.88 : 4,724.10 = 2,382.24 : x
  2. Step 2: Convert to fraction form
    3,146.88/4,724.10 = 2,382.24/x
  3. Step 3: Cross multiply
    3,146.88x = 4,724.10 × 2,382.24
  4. Step 4: Simplify right side
    3,146.88x = 11,253,939.98
  5. Step 5: Solve for x
    x = 11,253,939.98/3,146.88
  6. Step 6: Final answer
    x = 3,576.22

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1.5x scale

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.