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Finding the Fourth Proportional to 2,780.92, 4,171.54 and 1,049.56

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Solution

The fourth proportional to 2,780.92, 4,171.54 and 1,049.56 is: 1,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.92 : 4,171.54 = 1,049.56 : x
  2. Step 2: Convert to fraction form
    2,780.92/4,171.54 = 1,049.56/x
  3. Step 3: Cross multiply
    2,780.92x = 4,171.54 × 1,049.56
  4. Step 4: Simplify right side
    2,780.92x = 4,378,281.52
  5. Step 5: Solve for x
    x = 4,378,281.52/2,780.92
  6. Step 6: Final answer
    x = 1,574.40

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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.