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Finding the Fourth Proportional to 2,825.32, 4,237.97 and 773.32

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Solution

The fourth proportional to 2,825.32, 4,237.97 and 773.32 is: 1,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.32 : 4,237.97 = 773.32 : x
  2. Step 2: Convert to fraction form
    2,825.32/4,237.97 = 773.32/x
  3. Step 3: Cross multiply
    2,825.32x = 4,237.97 × 773.32
  4. Step 4: Simplify right side
    2,825.32x = 3,277,285.77
  5. Step 5: Solve for x
    x = 3,277,285.77/2,825.32
  6. Step 6: Final answer
    x = 1,159.97

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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.