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Finding the Fourth Proportional to 3,301, 4,950.96 and 2,324.14

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Solution

The fourth proportional to 3,301, 4,950.96 and 2,324.14 is: 3,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301 : 4,950.96 = 2,324.14 : x
  2. Step 2: Convert to fraction form
    3,301/4,950.96 = 2,324.14/x
  3. Step 3: Cross multiply
    3,301x = 4,950.96 × 2,324.14
  4. Step 4: Simplify right side
    3,301x = 11,506,724.17
  5. Step 5: Solve for x
    x = 11,506,724.17/3,301
  6. Step 6: Final answer
    x = 3,485.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.