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Finding the Fourth Proportional to 2,252.75, 3,376.84 and 1,081.03

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Solution

The fourth proportional to 2,252.75, 3,376.84 and 1,081.03 is: 1,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.75 : 3,376.84 = 1,081.03 : x
  2. Step 2: Convert to fraction form
    2,252.75/3,376.84 = 1,081.03/x
  3. Step 3: Cross multiply
    2,252.75x = 3,376.84 × 1,081.03
  4. Step 4: Simplify right side
    2,252.75x = 3,650,465.35
  5. Step 5: Solve for x
    x = 3,650,465.35/2,252.75
  6. Step 6: Final answer
    x = 1,620.45

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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.