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Finding the Fourth Proportional to 2,874.65, 4,311.37 and 925.79

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Solution

The fourth proportional to 2,874.65, 4,311.37 and 925.79 is: 1,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.65 : 4,311.37 = 925.79 : x
  2. Step 2: Convert to fraction form
    2,874.65/4,311.37 = 925.79/x
  3. Step 3: Cross multiply
    2,874.65x = 4,311.37 × 925.79
  4. Step 4: Simplify right side
    2,874.65x = 3,991,418.60
  5. Step 5: Solve for x
    x = 3,991,418.60/2,874.65
  6. Step 6: Final answer
    x = 1,388.49

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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.