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Finding the Fourth Proportional to 1,974.82, 2,963.13 and 879.90

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Solution

The fourth proportional to 1,974.82, 2,963.13 and 879.90 is: 1,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.82 : 2,963.13 = 879.90 : x
  2. Step 2: Convert to fraction form
    1,974.82/2,963.13 = 879.90/x
  3. Step 3: Cross multiply
    1,974.82x = 2,963.13 × 879.90
  4. Step 4: Simplify right side
    1,974.82x = 2,607,258.09
  5. Step 5: Solve for x
    x = 2,607,258.09/1,974.82
  6. Step 6: Final answer
    x = 1,320.25

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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.