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Finding the Fourth Proportional to 3,066.81, 4,601.13 and 1,424.75

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Solution

The fourth proportional to 3,066.81, 4,601.13 and 1,424.75 is: 2,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.81 : 4,601.13 = 1,424.75 : x
  2. Step 2: Convert to fraction form
    3,066.81/4,601.13 = 1,424.75/x
  3. Step 3: Cross multiply
    3,066.81x = 4,601.13 × 1,424.75
  4. Step 4: Simplify right side
    3,066.81x = 6,555,436.96
  5. Step 5: Solve for x
    x = 6,555,436.96/3,066.81
  6. Step 6: Final answer
    x = 2,137.54

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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.