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Finding the Fourth Proportional to 2,112.31, 3,168.92 and 880.00

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Solution

The fourth proportional to 2,112.31, 3,168.92 and 880.00 is: 1,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.31 : 3,168.92 = 880.00 : x
  2. Step 2: Convert to fraction form
    2,112.31/3,168.92 = 880.00/x
  3. Step 3: Cross multiply
    2,112.31x = 3,168.92 × 880.00
  4. Step 4: Simplify right side
    2,112.31x = 2,788,643.88
  5. Step 5: Solve for x
    x = 2,788,643.88/2,112.31
  6. Step 6: Final answer
    x = 1,320.19

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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.