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Finding the Fourth Proportional to 2,682.55, 4,024.96 and 1,040.25

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Solution

The fourth proportional to 2,682.55, 4,024.96 and 1,040.25 is: 1,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.55 : 4,024.96 = 1,040.25 : x
  2. Step 2: Convert to fraction form
    2,682.55/4,024.96 = 1,040.25/x
  3. Step 3: Cross multiply
    2,682.55x = 4,024.96 × 1,040.25
  4. Step 4: Simplify right side
    2,682.55x = 4,186,977.13
  5. Step 5: Solve for x
    x = 4,186,977.13/2,682.55
  6. Step 6: Final answer
    x = 1,560.82

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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.