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Finding the Fourth Proportional to 2,280.52, 3,422.22 and 895

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Solution

The fourth proportional to 2,280.52, 3,422.22 and 895 is: 1,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.52 : 3,422.22 = 895 : x
  2. Step 2: Convert to fraction form
    2,280.52/3,422.22 = 895/x
  3. Step 3: Cross multiply
    2,280.52x = 3,422.22 × 895
  4. Step 4: Simplify right side
    2,280.52x = 3,062,886.90
  5. Step 5: Solve for x
    x = 3,062,886.90/2,280.52
  6. Step 6: Final answer
    x = 1,343.07

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Why These Related Problems?

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