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Finding the Fourth Proportional to 2,084.11, 3,123.77 and 697.12

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Solution

The fourth proportional to 2,084.11, 3,123.77 and 697.12 is: 1,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.11 : 3,123.77 = 697.12 : x
  2. Step 2: Convert to fraction form
    2,084.11/3,123.77 = 697.12/x
  3. Step 3: Cross multiply
    2,084.11x = 3,123.77 × 697.12
  4. Step 4: Simplify right side
    2,084.11x = 2,177,636.48
  5. Step 5: Solve for x
    x = 2,177,636.48/2,084.11
  6. Step 6: Final answer
    x = 1,044.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.