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Finding the Fourth Proportional to 2,595.80, 3,892.44 and 864.20

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Solution

The fourth proportional to 2,595.80, 3,892.44 and 864.20 is: 1,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.80 : 3,892.44 = 864.20 : x
  2. Step 2: Convert to fraction form
    2,595.80/3,892.44 = 864.20/x
  3. Step 3: Cross multiply
    2,595.80x = 3,892.44 × 864.20
  4. Step 4: Simplify right side
    2,595.80x = 3,363,846.65
  5. Step 5: Solve for x
    x = 3,363,846.65/2,595.80
  6. Step 6: Final answer
    x = 1,295.88

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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.