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Finding the Fourth Proportional to 2,085.33, 3,126.94 and 698.17

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Solution

The fourth proportional to 2,085.33, 3,126.94 and 698.17 is: 1,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.33 : 3,126.94 = 698.17 : x
  2. Step 2: Convert to fraction form
    2,085.33/3,126.94 = 698.17/x
  3. Step 3: Cross multiply
    2,085.33x = 3,126.94 × 698.17
  4. Step 4: Simplify right side
    2,085.33x = 2,183,135.70
  5. Step 5: Solve for x
    x = 2,183,135.70/2,085.33
  6. Step 6: Final answer
    x = 1,046.90

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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.