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Finding the Fourth Proportional to 2,808, 3,876.48 and 1,761.12

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Solution

The fourth proportional to 2,808, 3,876.48 and 1,761.12 is: 2,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808 : 3,876.48 = 1,761.12 : x
  2. Step 2: Convert to fraction form
    2,808/3,876.48 = 1,761.12/x
  3. Step 3: Cross multiply
    2,808x = 3,876.48 × 1,761.12
  4. Step 4: Simplify right side
    2,808x = 6,826,946.46
  5. Step 5: Solve for x
    x = 6,826,946.46/2,808
  6. Step 6: Final answer
    x = 2,431.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.