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Finding the Fourth Proportional to 2,449.77, 3,674.62 and 600.87

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Solution

The fourth proportional to 2,449.77, 3,674.62 and 600.87 is: 901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.77 : 3,674.62 = 600.87 : x
  2. Step 2: Convert to fraction form
    2,449.77/3,674.62 = 600.87/x
  3. Step 3: Cross multiply
    2,449.77x = 3,674.62 × 600.87
  4. Step 4: Simplify right side
    2,449.77x = 2,207,968.92
  5. Step 5: Solve for x
    x = 2,207,968.92/2,449.77
  6. Step 6: Final answer
    x = 901.30

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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.