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Finding the Fourth Proportional to 2,443.68, 3,665.76 and 800.25

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Solution

The fourth proportional to 2,443.68, 3,665.76 and 800.25 is: 1,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.68 : 3,665.76 = 800.25 : x
  2. Step 2: Convert to fraction form
    2,443.68/3,665.76 = 800.25/x
  3. Step 3: Cross multiply
    2,443.68x = 3,665.76 × 800.25
  4. Step 4: Simplify right side
    2,443.68x = 2,933,524.44
  5. Step 5: Solve for x
    x = 2,933,524.44/2,443.68
  6. Step 6: Final answer
    x = 1,200.45

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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.