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Finding the Fourth Proportional to 3,085.58, 4,258.05 and 1,759.28

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Solution

The fourth proportional to 3,085.58, 4,258.05 and 1,759.28 is: 2,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.58 : 4,258.05 = 1,759.28 : x
  2. Step 2: Convert to fraction form
    3,085.58/4,258.05 = 1,759.28/x
  3. Step 3: Cross multiply
    3,085.58x = 4,258.05 × 1,759.28
  4. Step 4: Simplify right side
    3,085.58x = 7,491,102.20
  5. Step 5: Solve for x
    x = 7,491,102.20/3,085.58
  6. Step 6: Final answer
    x = 2,427.78

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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.