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Finding the Fourth Proportional to 2,442.81, 3,663.50 and 687.69

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Solution

The fourth proportional to 2,442.81, 3,663.50 and 687.69 is: 1,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.81 : 3,663.50 = 687.69 : x
  2. Step 2: Convert to fraction form
    2,442.81/3,663.50 = 687.69/x
  3. Step 3: Cross multiply
    2,442.81x = 3,663.50 × 687.69
  4. Step 4: Simplify right side
    2,442.81x = 2,519,348.88
  5. Step 5: Solve for x
    x = 2,519,348.88/2,442.81
  6. Step 6: Final answer
    x = 1,031.33

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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.