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Finding the Fourth Proportional to 2,910.74, 4,019.24 and 2,699.69

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Solution

The fourth proportional to 2,910.74, 4,019.24 and 2,699.69 is: 3,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.74 : 4,019.24 = 2,699.69 : x
  2. Step 2: Convert to fraction form
    2,910.74/4,019.24 = 2,699.69/x
  3. Step 3: Cross multiply
    2,910.74x = 4,019.24 × 2,699.69
  4. Step 4: Simplify right side
    2,910.74x = 10,850,702.04
  5. Step 5: Solve for x
    x = 10,850,702.04/2,910.74
  6. Step 6: Final answer
    x = 3,727.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.