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Finding the Fourth Proportional to 3,463.65, 4,780.02 and 1,891.75

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Solution

The fourth proportional to 3,463.65, 4,780.02 and 1,891.75 is: 2,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.65 : 4,780.02 = 1,891.75 : x
  2. Step 2: Convert to fraction form
    3,463.65/4,780.02 = 1,891.75/x
  3. Step 3: Cross multiply
    3,463.65x = 4,780.02 × 1,891.75
  4. Step 4: Simplify right side
    3,463.65x = 9,042,602.84
  5. Step 5: Solve for x
    x = 9,042,602.84/3,463.65
  6. Step 6: Final answer
    x = 2,610.71

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Why These Related Problems?

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