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Finding the Fourth Proportional to 2,693.88, 4,039.52 and 938.85

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Solution

The fourth proportional to 2,693.88, 4,039.52 and 938.85 is: 1,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.88 : 4,039.52 = 938.85 : x
  2. Step 2: Convert to fraction form
    2,693.88/4,039.52 = 938.85/x
  3. Step 3: Cross multiply
    2,693.88x = 4,039.52 × 938.85
  4. Step 4: Simplify right side
    2,693.88x = 3,792,483.15
  5. Step 5: Solve for x
    x = 3,792,483.15/2,693.88
  6. Step 6: Final answer
    x = 1,407.81

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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.