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Finding the Fourth Proportional to 2,154.24, 3,230.08 and 998.88

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Solution

The fourth proportional to 2,154.24, 3,230.08 and 998.88 is: 1,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.24 : 3,230.08 = 998.88 : x
  2. Step 2: Convert to fraction form
    2,154.24/3,230.08 = 998.88/x
  3. Step 3: Cross multiply
    2,154.24x = 3,230.08 × 998.88
  4. Step 4: Simplify right side
    2,154.24x = 3,226,462.31
  5. Step 5: Solve for x
    x = 3,226,462.31/2,154.24
  6. Step 6: Final answer
    x = 1,497.73

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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.