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Finding the Fourth Proportional to 2,780.52, 3,836.55 and 1,601.28

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Solution

The fourth proportional to 2,780.52, 3,836.55 and 1,601.28 is: 2,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.52 : 3,836.55 = 1,601.28 : x
  2. Step 2: Convert to fraction form
    2,780.52/3,836.55 = 1,601.28/x
  3. Step 3: Cross multiply
    2,780.52x = 3,836.55 × 1,601.28
  4. Step 4: Simplify right side
    2,780.52x = 6,143,390.78
  5. Step 5: Solve for x
    x = 6,143,390.78/2,780.52
  6. Step 6: Final answer
    x = 2,209.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.