Home / 2,098.32-3,149.10-1,449.96

Finding the Fourth Proportional to 2,098.32, 3,149.10 and 1,449.96

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Solution

The fourth proportional to 2,098.32, 3,149.10 and 1,449.96 is: 2,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.32 : 3,149.10 = 1,449.96 : x
  2. Step 2: Convert to fraction form
    2,098.32/3,149.10 = 1,449.96/x
  3. Step 3: Cross multiply
    2,098.32x = 3,149.10 × 1,449.96
  4. Step 4: Simplify right side
    2,098.32x = 4,566,069.04
  5. Step 5: Solve for x
    x = 4,566,069.04/2,098.32
  6. Step 6: Final answer
    x = 2,176.06

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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.