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Finding the Fourth Proportional to 3,085.41, 4,258.17 and 1,759.31

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Solution

The fourth proportional to 3,085.41, 4,258.17 and 1,759.31 is: 2,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.41 : 4,258.17 = 1,759.31 : x
  2. Step 2: Convert to fraction form
    3,085.41/4,258.17 = 1,759.31/x
  3. Step 3: Cross multiply
    3,085.41x = 4,258.17 × 1,759.31
  4. Step 4: Simplify right side
    3,085.41x = 7,491,451.71
  5. Step 5: Solve for x
    x = 7,491,451.71/3,085.41
  6. Step 6: Final answer
    x = 2,428.02

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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.