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Finding the Fourth Proportional to 2,080.78, 3,120.32 and 1,040.40

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Solution

The fourth proportional to 2,080.78, 3,120.32 and 1,040.40 is: 1,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.78 : 3,120.32 = 1,040.40 : x
  2. Step 2: Convert to fraction form
    2,080.78/3,120.32 = 1,040.40/x
  3. Step 3: Cross multiply
    2,080.78x = 3,120.32 × 1,040.40
  4. Step 4: Simplify right side
    2,080.78x = 3,246,380.93
  5. Step 5: Solve for x
    x = 3,246,380.93/2,080.78
  6. Step 6: Final answer
    x = 1,560.17

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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.