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Finding the Fourth Proportional to 2,565.32, 3,846.60 and 920.96

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Solution

The fourth proportional to 2,565.32, 3,846.60 and 920.96 is: 1,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.32 : 3,846.60 = 920.96 : x
  2. Step 2: Convert to fraction form
    2,565.32/3,846.60 = 920.96/x
  3. Step 3: Cross multiply
    2,565.32x = 3,846.60 × 920.96
  4. Step 4: Simplify right side
    2,565.32x = 3,542,564.74
  5. Step 5: Solve for x
    x = 3,542,564.74/2,565.32
  6. Step 6: Final answer
    x = 1,380.94

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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.