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Finding the Fourth Proportional to 2,443.75, 3,666.48 and 800.29

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Solution

The fourth proportional to 2,443.75, 3,666.48 and 800.29 is: 1,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.75 : 3,666.48 = 800.29 : x
  2. Step 2: Convert to fraction form
    2,443.75/3,666.48 = 800.29/x
  3. Step 3: Cross multiply
    2,443.75x = 3,666.48 × 800.29
  4. Step 4: Simplify right side
    2,443.75x = 2,934,247.28
  5. Step 5: Solve for x
    x = 2,934,247.28/2,443.75
  6. Step 6: Final answer
    x = 1,200.71

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