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Finding the Fourth Proportional to 2,780.46, 3,836.46 and 1,785.60

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Solution

The fourth proportional to 2,780.46, 3,836.46 and 1,785.60 is: 2,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.46 : 3,836.46 = 1,785.60 : x
  2. Step 2: Convert to fraction form
    2,780.46/3,836.46 = 1,785.60/x
  3. Step 3: Cross multiply
    2,780.46x = 3,836.46 × 1,785.60
  4. Step 4: Simplify right side
    2,780.46x = 6,850,382.98
  5. Step 5: Solve for x
    x = 6,850,382.98/2,780.46
  6. Step 6: Final answer
    x = 2,463.76

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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.