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Finding the Fourth Proportional to 2,482.57, 3,723.85 and 633.68

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Solution

The fourth proportional to 2,482.57, 3,723.85 and 633.68 is: 950.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.57 : 3,723.85 = 633.68 : x
  2. Step 2: Convert to fraction form
    2,482.57/3,723.85 = 633.68/x
  3. Step 3: Cross multiply
    2,482.57x = 3,723.85 × 633.68
  4. Step 4: Simplify right side
    2,482.57x = 2,359,728.82
  5. Step 5: Solve for x
    x = 2,359,728.82/2,482.57
  6. Step 6: Final answer
    x = 950.52

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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.