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Finding the Fourth Proportional to 2,995.92, 4,488.48 and 2,265.84

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Solution

The fourth proportional to 2,995.92, 4,488.48 and 2,265.84 is: 3,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.92 : 4,488.48 = 2,265.84 : x
  2. Step 2: Convert to fraction form
    2,995.92/4,488.48 = 2,265.84/x
  3. Step 3: Cross multiply
    2,995.92x = 4,488.48 × 2,265.84
  4. Step 4: Simplify right side
    2,995.92x = 10,170,177.52
  5. Step 5: Solve for x
    x = 10,170,177.52/2,995.92
  6. Step 6: Final answer
    x = 3,394.68

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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.