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Finding the Fourth Proportional to 2,267.80, 3,398.75 and 1,017.47

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Solution

The fourth proportional to 2,267.80, 3,398.75 and 1,017.47 is: 1,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.80 : 3,398.75 = 1,017.47 : x
  2. Step 2: Convert to fraction form
    2,267.80/3,398.75 = 1,017.47/x
  3. Step 3: Cross multiply
    2,267.80x = 3,398.75 × 1,017.47
  4. Step 4: Simplify right side
    2,267.80x = 3,458,121.67
  5. Step 5: Solve for x
    x = 3,458,121.67/2,267.80
  6. Step 6: Final answer
    x = 1,524.88

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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.