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Finding the Fourth Proportional to 2,442.92, 3,663.99 and 799.43

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Solution

The fourth proportional to 2,442.92, 3,663.99 and 799.43 is: 1,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.92 : 3,663.99 = 799.43 : x
  2. Step 2: Convert to fraction form
    2,442.92/3,663.99 = 799.43/x
  3. Step 3: Cross multiply
    2,442.92x = 3,663.99 × 799.43
  4. Step 4: Simplify right side
    2,442.92x = 2,929,085.21
  5. Step 5: Solve for x
    x = 2,929,085.21/2,442.92
  6. Step 6: Final answer
    x = 1,199.01

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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.