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Finding the Fourth Proportional to 2,005.25, 2,766.28 and 1,258.84

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Solution

The fourth proportional to 2,005.25, 2,766.28 and 1,258.84 is: 1,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.25 : 2,766.28 = 1,258.84 : x
  2. Step 2: Convert to fraction form
    2,005.25/2,766.28 = 1,258.84/x
  3. Step 3: Cross multiply
    2,005.25x = 2,766.28 × 1,258.84
  4. Step 4: Simplify right side
    2,005.25x = 3,482,303.92
  5. Step 5: Solve for x
    x = 3,482,303.92/2,005.25
  6. Step 6: Final answer
    x = 1,736.59

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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.