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Finding the Fourth Proportional to 2,282.45, 3,422.36 and 894.17

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Solution

The fourth proportional to 2,282.45, 3,422.36 and 894.17 is: 1,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.45 : 3,422.36 = 894.17 : x
  2. Step 2: Convert to fraction form
    2,282.45/3,422.36 = 894.17/x
  3. Step 3: Cross multiply
    2,282.45x = 3,422.36 × 894.17
  4. Step 4: Simplify right side
    2,282.45x = 3,060,154.53
  5. Step 5: Solve for x
    x = 3,060,154.53/2,282.45
  6. Step 6: Final answer
    x = 1,340.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.