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Finding the Fourth Proportional to 2,227.95, 3,074.52 and 1,233.17

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Solution

The fourth proportional to 2,227.95, 3,074.52 and 1,233.17 is: 1,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.95 : 3,074.52 = 1,233.17 : x
  2. Step 2: Convert to fraction form
    2,227.95/3,074.52 = 1,233.17/x
  3. Step 3: Cross multiply
    2,227.95x = 3,074.52 × 1,233.17
  4. Step 4: Simplify right side
    2,227.95x = 3,791,390.46
  5. Step 5: Solve for x
    x = 3,791,390.46/2,227.95
  6. Step 6: Final answer
    x = 1,701.74

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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.