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Finding the Fourth Proportional to 2,443.82, 3,665.78 and 800.30

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Solution

The fourth proportional to 2,443.82, 3,665.78 and 800.30 is: 1,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.82 : 3,665.78 = 800.30 : x
  2. Step 2: Convert to fraction form
    2,443.82/3,665.78 = 800.30/x
  3. Step 3: Cross multiply
    2,443.82x = 3,665.78 × 800.30
  4. Step 4: Simplify right side
    2,443.82x = 2,933,707.41
  5. Step 5: Solve for x
    x = 2,933,707.41/2,443.82
  6. Step 6: Final answer
    x = 1,200.46

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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.