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Finding the Fourth Proportional to 2,148.24, 3,221.16 and 992.88

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Solution

The fourth proportional to 2,148.24, 3,221.16 and 992.88 is: 1,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.24 : 3,221.16 = 992.88 : x
  2. Step 2: Convert to fraction form
    2,148.24/3,221.16 = 992.88/x
  3. Step 3: Cross multiply
    2,148.24x = 3,221.16 × 992.88
  4. Step 4: Simplify right side
    2,148.24x = 3,198,225.34
  5. Step 5: Solve for x
    x = 3,198,225.34/2,148.24
  6. Step 6: Final answer
    x = 1,488.77

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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.