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Finding the Fourth Proportional to 2,320.36, 3,481.92 and 933.82

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Solution

The fourth proportional to 2,320.36, 3,481.92 and 933.82 is: 1,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.36 : 3,481.92 = 933.82 : x
  2. Step 2: Convert to fraction form
    2,320.36/3,481.92 = 933.82/x
  3. Step 3: Cross multiply
    2,320.36x = 3,481.92 × 933.82
  4. Step 4: Simplify right side
    2,320.36x = 3,251,486.53
  5. Step 5: Solve for x
    x = 3,251,486.53/2,320.36
  6. Step 6: Final answer
    x = 1,401.29

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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.