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Finding the Fourth Proportional to 2,084.14, 3,125.85 and 697.32

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Solution

The fourth proportional to 2,084.14, 3,125.85 and 697.32 is: 1,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.14 : 3,125.85 = 697.32 : x
  2. Step 2: Convert to fraction form
    2,084.14/3,125.85 = 697.32/x
  3. Step 3: Cross multiply
    2,084.14x = 3,125.85 × 697.32
  4. Step 4: Simplify right side
    2,084.14x = 2,179,717.72
  5. Step 5: Solve for x
    x = 2,179,717.72/2,084.14
  6. Step 6: Final answer
    x = 1,045.86

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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.