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Finding the Fourth Proportional to 2,151.12, 3,228.84 and 997.68

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Solution

The fourth proportional to 2,151.12, 3,228.84 and 997.68 is: 1,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.12 : 3,228.84 = 997.68 : x
  2. Step 2: Convert to fraction form
    2,151.12/3,228.84 = 997.68/x
  3. Step 3: Cross multiply
    2,151.12x = 3,228.84 × 997.68
  4. Step 4: Simplify right side
    2,151.12x = 3,221,349.09
  5. Step 5: Solve for x
    x = 3,221,349.09/2,151.12
  6. Step 6: Final answer
    x = 1,497.52

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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.