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Finding the Fourth Proportional to 2,808.78, 3,876.12 and 1,566.78

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Solution

The fourth proportional to 2,808.78, 3,876.12 and 1,566.78 is: 2,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.78 : 3,876.12 = 1,566.78 : x
  2. Step 2: Convert to fraction form
    2,808.78/3,876.12 = 1,566.78/x
  3. Step 3: Cross multiply
    2,808.78x = 3,876.12 × 1,566.78
  4. Step 4: Simplify right side
    2,808.78x = 6,073,027.29
  5. Step 5: Solve for x
    x = 6,073,027.29/2,808.78
  6. Step 6: Final answer
    x = 2,162.16

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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.