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Finding the Fourth Proportional to 1,974.44, 2,962.16 and 675.91

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Solution

The fourth proportional to 1,974.44, 2,962.16 and 675.91 is: 1,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.44 : 2,962.16 = 675.91 : x
  2. Step 2: Convert to fraction form
    1,974.44/2,962.16 = 675.91/x
  3. Step 3: Cross multiply
    1,974.44x = 2,962.16 × 675.91
  4. Step 4: Simplify right side
    1,974.44x = 2,002,153.57
  5. Step 5: Solve for x
    x = 2,002,153.57/1,974.44
  6. Step 6: Final answer
    x = 1,014.04

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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.