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Finding the Fourth Proportional to 2,320.82, 3,478.80 and 1,443.32

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Solution

The fourth proportional to 2,320.82, 3,478.80 and 1,443.32 is: 2,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.82 : 3,478.80 = 1,443.32 : x
  2. Step 2: Convert to fraction form
    2,320.82/3,478.80 = 1,443.32/x
  3. Step 3: Cross multiply
    2,320.82x = 3,478.80 × 1,443.32
  4. Step 4: Simplify right side
    2,320.82x = 5,021,021.62
  5. Step 5: Solve for x
    x = 5,021,021.62/2,320.82
  6. Step 6: Final answer
    x = 2,163.47

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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.