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Finding the Fourth Proportional to 1,449.77, 2,174.63 and 354.14

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Solution

The fourth proportional to 1,449.77, 2,174.63 and 354.14 is: 531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.77 : 2,174.63 = 354.14 : x
  2. Step 2: Convert to fraction form
    1,449.77/2,174.63 = 354.14/x
  3. Step 3: Cross multiply
    1,449.77x = 2,174.63 × 354.14
  4. Step 4: Simplify right side
    1,449.77x = 770,120.97
  5. Step 5: Solve for x
    x = 770,120.97/1,449.77
  6. Step 6: Final answer
    x = 531.20

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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.