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Finding the Fourth Proportional to 2,338.46, 3,227.05 and 1,290.50

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Solution

The fourth proportional to 2,338.46, 3,227.05 and 1,290.50 is: 1,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.46 : 3,227.05 = 1,290.50 : x
  2. Step 2: Convert to fraction form
    2,338.46/3,227.05 = 1,290.50/x
  3. Step 3: Cross multiply
    2,338.46x = 3,227.05 × 1,290.50
  4. Step 4: Simplify right side
    2,338.46x = 4,164,508.03
  5. Step 5: Solve for x
    x = 4,164,508.03/2,338.46
  6. Step 6: Final answer
    x = 1,780.88

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