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Finding the Fourth Proportional to 2,682, 4,023.36 and 1,143.36

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Solution

The fourth proportional to 2,682, 4,023.36 and 1,143.36 is: 1,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682 : 4,023.36 = 1,143.36 : x
  2. Step 2: Convert to fraction form
    2,682/4,023.36 = 1,143.36/x
  3. Step 3: Cross multiply
    2,682x = 4,023.36 × 1,143.36
  4. Step 4: Simplify right side
    2,682x = 4,600,148.89
  5. Step 5: Solve for x
    x = 4,600,148.89/2,682
  6. Step 6: Final answer
    x = 1,715.19

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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.