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Finding the Fourth Proportional to 2,338.72, 3,227.40 and 1,276.50

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Solution

The fourth proportional to 2,338.72, 3,227.40 and 1,276.50 is: 1,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.72 : 3,227.40 = 1,276.50 : x
  2. Step 2: Convert to fraction form
    2,338.72/3,227.40 = 1,276.50/x
  3. Step 3: Cross multiply
    2,338.72x = 3,227.40 × 1,276.50
  4. Step 4: Simplify right side
    2,338.72x = 4,119,776.10
  5. Step 5: Solve for x
    x = 4,119,776.10/2,338.72
  6. Step 6: Final answer
    x = 1,761.55

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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.