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Finding the Fourth Proportional to 2,281.49, 3,422.42 and 894.72

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Solution

The fourth proportional to 2,281.49, 3,422.42 and 894.72 is: 1,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.49 : 3,422.42 = 894.72 : x
  2. Step 2: Convert to fraction form
    2,281.49/3,422.42 = 894.72/x
  3. Step 3: Cross multiply
    2,281.49x = 3,422.42 × 894.72
  4. Step 4: Simplify right side
    2,281.49x = 3,062,103.15
  5. Step 5: Solve for x
    x = 3,062,103.15/2,281.49
  6. Step 6: Final answer
    x = 1,342.15

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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.