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Finding the Fourth Proportional to 3,064.68, 4,229.16 and 1,667.42

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Solution

The fourth proportional to 3,064.68, 4,229.16 and 1,667.42 is: 2,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.68 : 4,229.16 = 1,667.42 : x
  2. Step 2: Convert to fraction form
    3,064.68/4,229.16 = 1,667.42/x
  3. Step 3: Cross multiply
    3,064.68x = 4,229.16 × 1,667.42
  4. Step 4: Simplify right side
    3,064.68x = 7,051,785.97
  5. Step 5: Solve for x
    x = 7,051,785.97/3,064.68
  6. Step 6: Final answer
    x = 2,300.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.