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Finding the Fourth Proportional to 2,258.06, 3,382.86 and 1,330.88

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Solution

The fourth proportional to 2,258.06, 3,382.86 and 1,330.88 is: 1,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.06 : 3,382.86 = 1,330.88 : x
  2. Step 2: Convert to fraction form
    2,258.06/3,382.86 = 1,330.88/x
  3. Step 3: Cross multiply
    2,258.06x = 3,382.86 × 1,330.88
  4. Step 4: Simplify right side
    2,258.06x = 4,502,180.72
  5. Step 5: Solve for x
    x = 4,502,180.72/2,258.06
  6. Step 6: Final answer
    x = 1,993.83

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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.