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Finding the Fourth Proportional to 2,682.80, 4,024.80 and 1,039.20

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Solution

The fourth proportional to 2,682.80, 4,024.80 and 1,039.20 is: 1,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.80 : 4,024.80 = 1,039.20 : x
  2. Step 2: Convert to fraction form
    2,682.80/4,024.80 = 1,039.20/x
  3. Step 3: Cross multiply
    2,682.80x = 4,024.80 × 1,039.20
  4. Step 4: Simplify right side
    2,682.80x = 4,182,572.16
  5. Step 5: Solve for x
    x = 4,182,572.16/2,682.80
  6. Step 6: Final answer
    x = 1,559.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.