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Finding the Fourth Proportional to 2,444.29, 3,666.88 and 800.92

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Solution

The fourth proportional to 2,444.29, 3,666.88 and 800.92 is: 1,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.29 : 3,666.88 = 800.92 : x
  2. Step 2: Convert to fraction form
    2,444.29/3,666.88 = 800.92/x
  3. Step 3: Cross multiply
    2,444.29x = 3,666.88 × 800.92
  4. Step 4: Simplify right side
    2,444.29x = 2,936,883.11
  5. Step 5: Solve for x
    x = 2,936,883.11/2,444.29
  6. Step 6: Final answer
    x = 1,201.53

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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.