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Finding the Fourth Proportional to 2,780.65, 3,836.10 and 1,601.02

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Solution

The fourth proportional to 2,780.65, 3,836.10 and 1,601.02 is: 2,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.65 : 3,836.10 = 1,601.02 : x
  2. Step 2: Convert to fraction form
    2,780.65/3,836.10 = 1,601.02/x
  3. Step 3: Cross multiply
    2,780.65x = 3,836.10 × 1,601.02
  4. Step 4: Simplify right side
    2,780.65x = 6,141,672.82
  5. Step 5: Solve for x
    x = 6,141,672.82/2,780.65
  6. Step 6: Final answer
    x = 2,208.72

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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.