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Finding the Fourth Proportional to 2,062.04, 3,092.98 and 694.04

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Solution

The fourth proportional to 2,062.04, 3,092.98 and 694.04 is: 1,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.04 : 3,092.98 = 694.04 : x
  2. Step 2: Convert to fraction form
    2,062.04/3,092.98 = 694.04/x
  3. Step 3: Cross multiply
    2,062.04x = 3,092.98 × 694.04
  4. Step 4: Simplify right side
    2,062.04x = 2,146,651.84
  5. Step 5: Solve for x
    x = 2,146,651.84/2,062.04
  6. Step 6: Final answer
    x = 1,041.03

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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.