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Finding the Fourth Proportional to 2,842.88, 3,923.57 and 2,718.34

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Solution

The fourth proportional to 2,842.88, 3,923.57 and 2,718.34 is: 3,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.88 : 3,923.57 = 2,718.34 : x
  2. Step 2: Convert to fraction form
    2,842.88/3,923.57 = 2,718.34/x
  3. Step 3: Cross multiply
    2,842.88x = 3,923.57 × 2,718.34
  4. Step 4: Simplify right side
    2,842.88x = 10,665,594.26
  5. Step 5: Solve for x
    x = 10,665,594.26/2,842.88
  6. Step 6: Final answer
    x = 3,751.69

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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.