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Finding the Fourth Proportional to 2,272.15, 3,407.57 and 885.18

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Solution

The fourth proportional to 2,272.15, 3,407.57 and 885.18 is: 1,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.15 : 3,407.57 = 885.18 : x
  2. Step 2: Convert to fraction form
    2,272.15/3,407.57 = 885.18/x
  3. Step 3: Cross multiply
    2,272.15x = 3,407.57 × 885.18
  4. Step 4: Simplify right side
    2,272.15x = 3,016,305.32
  5. Step 5: Solve for x
    x = 3,016,305.32/2,272.15
  6. Step 6: Final answer
    x = 1,327.51

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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.