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Finding the Fourth Proportional to 2,693.26, 4,038.22 and 937.86

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Solution

The fourth proportional to 2,693.26, 4,038.22 and 937.86 is: 1,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.26 : 4,038.22 = 937.86 : x
  2. Step 2: Convert to fraction form
    2,693.26/4,038.22 = 937.86/x
  3. Step 3: Cross multiply
    2,693.26x = 4,038.22 × 937.86
  4. Step 4: Simplify right side
    2,693.26x = 3,787,285.01
  5. Step 5: Solve for x
    x = 3,787,285.01/2,693.26
  6. Step 6: Final answer
    x = 1,406.21

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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.