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Finding the Fourth Proportional to 2,827.44, 4,233.60 and 2,306.88

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Solution

The fourth proportional to 2,827.44, 4,233.60 and 2,306.88 is: 3,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.44 : 4,233.60 = 2,306.88 : x
  2. Step 2: Convert to fraction form
    2,827.44/4,233.60 = 2,306.88/x
  3. Step 3: Cross multiply
    2,827.44x = 4,233.60 × 2,306.88
  4. Step 4: Simplify right side
    2,827.44x = 9,766,407.17
  5. Step 5: Solve for x
    x = 9,766,407.17/2,827.44
  6. Step 6: Final answer
    x = 3,454.15

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1.5x scale

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.