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Finding the Fourth Proportional to 2,449.68, 3,674.51 and 600.78

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Solution

The fourth proportional to 2,449.68, 3,674.51 and 600.78 is: 901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.68 : 3,674.51 = 600.78 : x
  2. Step 2: Convert to fraction form
    2,449.68/3,674.51 = 600.78/x
  3. Step 3: Cross multiply
    2,449.68x = 3,674.51 × 600.78
  4. Step 4: Simplify right side
    2,449.68x = 2,207,557.52
  5. Step 5: Solve for x
    x = 2,207,557.52/2,449.68
  6. Step 6: Final answer
    x = 901.16

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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.