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Finding the Fourth Proportional to 1,974.62, 2,962.20 and 725.27

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Solution

The fourth proportional to 1,974.62, 2,962.20 and 725.27 is: 1,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.62 : 2,962.20 = 725.27 : x
  2. Step 2: Convert to fraction form
    1,974.62/2,962.20 = 725.27/x
  3. Step 3: Cross multiply
    1,974.62x = 2,962.20 × 725.27
  4. Step 4: Simplify right side
    1,974.62x = 2,148,379.98
  5. Step 5: Solve for x
    x = 2,148,379.98/1,974.62
  6. Step 6: Final answer
    x = 1,088.00

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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.