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Finding the Fourth Proportional to 2,443.35, 3,665.61 and 800.04

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Solution

The fourth proportional to 2,443.35, 3,665.61 and 800.04 is: 1,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.35 : 3,665.61 = 800.04 : x
  2. Step 2: Convert to fraction form
    2,443.35/3,665.61 = 800.04/x
  3. Step 3: Cross multiply
    2,443.35x = 3,665.61 × 800.04
  4. Step 4: Simplify right side
    2,443.35x = 2,932,634.62
  5. Step 5: Solve for x
    x = 2,932,634.62/2,443.35
  6. Step 6: Final answer
    x = 1,200.25

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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.