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Finding the Fourth Proportional to 2,084.18, 3,125.46 and 697.24

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Solution

The fourth proportional to 2,084.18, 3,125.46 and 697.24 is: 1,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.18 : 3,125.46 = 697.24 : x
  2. Step 2: Convert to fraction form
    2,084.18/3,125.46 = 697.24/x
  3. Step 3: Cross multiply
    2,084.18x = 3,125.46 × 697.24
  4. Step 4: Simplify right side
    2,084.18x = 2,179,195.73
  5. Step 5: Solve for x
    x = 2,179,195.73/2,084.18
  6. Step 6: Final answer
    x = 1,045.59

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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.