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Finding the Fourth Proportional to 2,482.65, 3,723.97 and 633.76

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Solution

The fourth proportional to 2,482.65, 3,723.97 and 633.76 is: 950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.65 : 3,723.97 = 633.76 : x
  2. Step 2: Convert to fraction form
    2,482.65/3,723.97 = 633.76/x
  3. Step 3: Cross multiply
    2,482.65x = 3,723.97 × 633.76
  4. Step 4: Simplify right side
    2,482.65x = 2,360,111.74
  5. Step 5: Solve for x
    x = 2,360,111.74/2,482.65
  6. Step 6: Final answer
    x = 950.64

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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.