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Finding the Fourth Proportional to 2,825.38, 4,237.02 and 976

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Solution

The fourth proportional to 2,825.38, 4,237.02 and 976 is: 1,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.38 : 4,237.02 = 976 : x
  2. Step 2: Convert to fraction form
    2,825.38/4,237.02 = 976/x
  3. Step 3: Cross multiply
    2,825.38x = 4,237.02 × 976
  4. Step 4: Simplify right side
    2,825.38x = 4,135,331.52
  5. Step 5: Solve for x
    x = 4,135,331.52/2,825.38
  6. Step 6: Final answer
    x = 1,463.64

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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.