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Finding the Fourth Proportional to 3,232.80, 4,844.16 and 2,076.24

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Solution

The fourth proportional to 3,232.80, 4,844.16 and 2,076.24 is: 3,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.80 : 4,844.16 = 2,076.24 : x
  2. Step 2: Convert to fraction form
    3,232.80/4,844.16 = 2,076.24/x
  3. Step 3: Cross multiply
    3,232.80x = 4,844.16 × 2,076.24
  4. Step 4: Simplify right side
    3,232.80x = 10,057,638.76
  5. Step 5: Solve for x
    x = 10,057,638.76/3,232.80
  6. Step 6: Final answer
    x = 3,111.12

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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.