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Finding the Fourth Proportional to 2,842.47, 4,261.88 and 1,865.61

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Solution

The fourth proportional to 2,842.47, 4,261.88 and 1,865.61 is: 2,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.47 : 4,261.88 = 1,865.61 : x
  2. Step 2: Convert to fraction form
    2,842.47/4,261.88 = 1,865.61/x
  3. Step 3: Cross multiply
    2,842.47x = 4,261.88 × 1,865.61
  4. Step 4: Simplify right side
    2,842.47x = 7,951,010.61
  5. Step 5: Solve for x
    x = 7,951,010.61/2,842.47
  6. Step 6: Final answer
    x = 2,797.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.