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Finding the Fourth Proportional to 2,696.90, 4,046.33 and 942.17

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Solution

The fourth proportional to 2,696.90, 4,046.33 and 942.17 is: 1,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.90 : 4,046.33 = 942.17 : x
  2. Step 2: Convert to fraction form
    2,696.90/4,046.33 = 942.17/x
  3. Step 3: Cross multiply
    2,696.90x = 4,046.33 × 942.17
  4. Step 4: Simplify right side
    2,696.90x = 3,812,318.68
  5. Step 5: Solve for x
    x = 3,812,318.68/2,696.90
  6. Step 6: Final answer
    x = 1,413.59

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Why These Related Problems?

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