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Finding the Fourth Proportional to 2,482.71, 3,724.06 and 633.82

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Solution

The fourth proportional to 2,482.71, 3,724.06 and 633.82 is: 950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.71 : 3,724.06 = 633.82 : x
  2. Step 2: Convert to fraction form
    2,482.71/3,724.06 = 633.82/x
  3. Step 3: Cross multiply
    2,482.71x = 3,724.06 × 633.82
  4. Step 4: Simplify right side
    2,482.71x = 2,360,391.43
  5. Step 5: Solve for x
    x = 2,360,391.43/2,482.71
  6. Step 6: Final answer
    x = 950.73

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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.