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Finding the Fourth Proportional to 2,108.04, 3,159 and 1,449.24

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Solution

The fourth proportional to 2,108.04, 3,159 and 1,449.24 is: 2,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.04 : 3,159 = 1,449.24 : x
  2. Step 2: Convert to fraction form
    2,108.04/3,159 = 1,449.24/x
  3. Step 3: Cross multiply
    2,108.04x = 3,159 × 1,449.24
  4. Step 4: Simplify right side
    2,108.04x = 4,578,149.16
  5. Step 5: Solve for x
    x = 4,578,149.16/2,108.04
  6. Step 6: Final answer
    x = 2,171.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.