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Finding the Fourth Proportional to 3,218.92, 4,825.14 and 1,488.76

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Solution

The fourth proportional to 3,218.92, 4,825.14 and 1,488.76 is: 2,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.92 : 4,825.14 = 1,488.76 : x
  2. Step 2: Convert to fraction form
    3,218.92/4,825.14 = 1,488.76/x
  3. Step 3: Cross multiply
    3,218.92x = 4,825.14 × 1,488.76
  4. Step 4: Simplify right side
    3,218.92x = 7,183,475.43
  5. Step 5: Solve for x
    x = 7,183,475.43/3,218.92
  6. Step 6: Final answer
    x = 2,231.64

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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.