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Finding the Fourth Proportional to 3,065.06, 4,229.80 and 1,667.81

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Solution

The fourth proportional to 3,065.06, 4,229.80 and 1,667.81 is: 2,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.06 : 4,229.80 = 1,667.81 : x
  2. Step 2: Convert to fraction form
    3,065.06/4,229.80 = 1,667.81/x
  3. Step 3: Cross multiply
    3,065.06x = 4,229.80 × 1,667.81
  4. Step 4: Simplify right side
    3,065.06x = 7,054,509.14
  5. Step 5: Solve for x
    x = 7,054,509.14/3,065.06
  6. Step 6: Final answer
    x = 2,301.59

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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.