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Finding the Fourth Proportional to 2,046.75, 2,824.52 and 1,115.25

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Solution

The fourth proportional to 2,046.75, 2,824.52 and 1,115.25 is: 1,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.75 : 2,824.52 = 1,115.25 : x
  2. Step 2: Convert to fraction form
    2,046.75/2,824.52 = 1,115.25/x
  3. Step 3: Cross multiply
    2,046.75x = 2,824.52 × 1,115.25
  4. Step 4: Simplify right side
    2,046.75x = 3,150,040.35
  5. Step 5: Solve for x
    x = 3,150,040.35/2,046.75
  6. Step 6: Final answer
    x = 1,539.05

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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.