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Finding the Fourth Proportional to 2,842.26, 4,265.16 and 1,200.18

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Solution

The fourth proportional to 2,842.26, 4,265.16 and 1,200.18 is: 1,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.26 : 4,265.16 = 1,200.18 : x
  2. Step 2: Convert to fraction form
    2,842.26/4,265.16 = 1,200.18/x
  3. Step 3: Cross multiply
    2,842.26x = 4,265.16 × 1,200.18
  4. Step 4: Simplify right side
    2,842.26x = 5,118,959.73
  5. Step 5: Solve for x
    x = 5,118,959.73/2,842.26
  6. Step 6: Final answer
    x = 1,801.02

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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.