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Finding the Fourth Proportional to 2,338.59, 3,227.23 and 1,290.63

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Solution

The fourth proportional to 2,338.59, 3,227.23 and 1,290.63 is: 1,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.59 : 3,227.23 = 1,290.63 : x
  2. Step 2: Convert to fraction form
    2,338.59/3,227.23 = 1,290.63/x
  3. Step 3: Cross multiply
    2,338.59x = 3,227.23 × 1,290.63
  4. Step 4: Simplify right side
    2,338.59x = 4,165,159.85
  5. Step 5: Solve for x
    x = 4,165,159.85/2,338.59
  6. Step 6: Final answer
    x = 1,781.06

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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.