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Finding the Fourth Proportional to 2,112.31, 2,915.00 and 1,155.25

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Solution

The fourth proportional to 2,112.31, 2,915.00 and 1,155.25 is: 1,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.31 : 2,915.00 = 1,155.25 : x
  2. Step 2: Convert to fraction form
    2,112.31/2,915.00 = 1,155.25/x
  3. Step 3: Cross multiply
    2,112.31x = 2,915.00 × 1,155.25
  4. Step 4: Simplify right side
    2,112.31x = 3,367,546.05
  5. Step 5: Solve for x
    x = 3,367,546.05/2,112.31
  6. Step 6: Final answer
    x = 1,594.25

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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.