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Finding the Fourth Proportional to 2,774.62, 4,162.60 and 925.75

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Solution

The fourth proportional to 2,774.62, 4,162.60 and 925.75 is: 1,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.62 : 4,162.60 = 925.75 : x
  2. Step 2: Convert to fraction form
    2,774.62/4,162.60 = 925.75/x
  3. Step 3: Cross multiply
    2,774.62x = 4,162.60 × 925.75
  4. Step 4: Simplify right side
    2,774.62x = 3,853,533.31
  5. Step 5: Solve for x
    x = 3,853,533.31/2,774.62
  6. Step 6: Final answer
    x = 1,388.85

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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.