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Finding the Fourth Proportional to 2,227.17, 3,073.73 and 1,283

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Solution

The fourth proportional to 2,227.17, 3,073.73 and 1,283 is: 1,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.17 : 3,073.73 = 1,283 : x
  2. Step 2: Convert to fraction form
    2,227.17/3,073.73 = 1,283/x
  3. Step 3: Cross multiply
    2,227.17x = 3,073.73 × 1,283
  4. Step 4: Simplify right side
    2,227.17x = 3,943,595.59
  5. Step 5: Solve for x
    x = 3,943,595.59/2,227.17
  6. Step 6: Final answer
    x = 1,770.68

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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.