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Finding the Fourth Proportional to 2,084.34, 3,126.19 and 697.70

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Solution

The fourth proportional to 2,084.34, 3,126.19 and 697.70 is: 1,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.34 : 3,126.19 = 697.70 : x
  2. Step 2: Convert to fraction form
    2,084.34/3,126.19 = 697.70/x
  3. Step 3: Cross multiply
    2,084.34x = 3,126.19 × 697.70
  4. Step 4: Simplify right side
    2,084.34x = 2,181,142.76
  5. Step 5: Solve for x
    x = 2,181,142.76/2,084.34
  6. Step 6: Final answer
    x = 1,046.44

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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.