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Finding the Fourth Proportional to 2,842.27, 4,259.86 and 2,219.47

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Solution

The fourth proportional to 2,842.27, 4,259.86 and 2,219.47 is: 3,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.27 : 4,259.86 = 2,219.47 : x
  2. Step 2: Convert to fraction form
    2,842.27/4,259.86 = 2,219.47/x
  3. Step 3: Cross multiply
    2,842.27x = 4,259.86 × 2,219.47
  4. Step 4: Simplify right side
    2,842.27x = 9,454,631.47
  5. Step 5: Solve for x
    x = 9,454,631.47/2,842.27
  6. Step 6: Final answer
    x = 3,326.44

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