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Finding the Fourth Proportional to 2,876.10, 4,304.24 and 1,764.78

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Solution

The fourth proportional to 2,876.10, 4,304.24 and 1,764.78 is: 2,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.10 : 4,304.24 = 1,764.78 : x
  2. Step 2: Convert to fraction form
    2,876.10/4,304.24 = 1,764.78/x
  3. Step 3: Cross multiply
    2,876.10x = 4,304.24 × 1,764.78
  4. Step 4: Simplify right side
    2,876.10x = 7,596,036.67
  5. Step 5: Solve for x
    x = 7,596,036.67/2,876.10
  6. Step 6: Final answer
    x = 2,641.09

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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.