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Finding the Fourth Proportional to 1,974.88, 2,962.48 and 821.28

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Solution

The fourth proportional to 1,974.88, 2,962.48 and 821.28 is: 1,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.88 : 2,962.48 = 821.28 : x
  2. Step 2: Convert to fraction form
    1,974.88/2,962.48 = 821.28/x
  3. Step 3: Cross multiply
    1,974.88x = 2,962.48 × 821.28
  4. Step 4: Simplify right side
    1,974.88x = 2,433,025.57
  5. Step 5: Solve for x
    x = 2,433,025.57/1,974.88
  6. Step 6: Final answer
    x = 1,231.99

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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.