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Finding the Fourth Proportional to 2,449.02, 3,673.50 and 600.14

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Solution

The fourth proportional to 2,449.02, 3,673.50 and 600.14 is: 900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.02 : 3,673.50 = 600.14 : x
  2. Step 2: Convert to fraction form
    2,449.02/3,673.50 = 600.14/x
  3. Step 3: Cross multiply
    2,449.02x = 3,673.50 × 600.14
  4. Step 4: Simplify right side
    2,449.02x = 2,204,614.29
  5. Step 5: Solve for x
    x = 2,204,614.29/2,449.02
  6. Step 6: Final answer
    x = 900.20

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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.