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Finding the Fourth Proportional to 2,003.82, 2,765.61 and 1,258.40

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Solution

The fourth proportional to 2,003.82, 2,765.61 and 1,258.40 is: 1,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.82 : 2,765.61 = 1,258.40 : x
  2. Step 2: Convert to fraction form
    2,003.82/2,765.61 = 1,258.40/x
  3. Step 3: Cross multiply
    2,003.82x = 2,765.61 × 1,258.40
  4. Step 4: Simplify right side
    2,003.82x = 3,480,243.62
  5. Step 5: Solve for x
    x = 3,480,243.62/2,003.82
  6. Step 6: Final answer
    x = 1,736.80

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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.