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Finding the Fourth Proportional to 2,667.81, 4,002.05 and 913.15

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Solution

The fourth proportional to 2,667.81, 4,002.05 and 913.15 is: 1,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.81 : 4,002.05 = 913.15 : x
  2. Step 2: Convert to fraction form
    2,667.81/4,002.05 = 913.15/x
  3. Step 3: Cross multiply
    2,667.81x = 4,002.05 × 913.15
  4. Step 4: Simplify right side
    2,667.81x = 3,654,471.96
  5. Step 5: Solve for x
    x = 3,654,471.96/2,667.81
  6. Step 6: Final answer
    x = 1,369.84

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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.