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Finding the Fourth Proportional to 2,718.41, 4,074.17 and 2,317.46

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Solution

The fourth proportional to 2,718.41, 4,074.17 and 2,317.46 is: 3,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.41 : 4,074.17 = 2,317.46 : x
  2. Step 2: Convert to fraction form
    2,718.41/4,074.17 = 2,317.46/x
  3. Step 3: Cross multiply
    2,718.41x = 4,074.17 × 2,317.46
  4. Step 4: Simplify right side
    2,718.41x = 9,441,694.05
  5. Step 5: Solve for x
    x = 9,441,694.05/2,718.41
  6. Step 6: Final answer
    x = 3,473.25

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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.