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Finding the Fourth Proportional to 2,682.60, 4,024.31 and 1,040.33

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Solution

The fourth proportional to 2,682.60, 4,024.31 and 1,040.33 is: 1,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.60 : 4,024.31 = 1,040.33 : x
  2. Step 2: Convert to fraction form
    2,682.60/4,024.31 = 1,040.33/x
  3. Step 3: Cross multiply
    2,682.60x = 4,024.31 × 1,040.33
  4. Step 4: Simplify right side
    2,682.60x = 4,186,585.10
  5. Step 5: Solve for x
    x = 4,186,585.10/2,682.60
  6. Step 6: Final answer
    x = 1,560.64

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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.