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Finding the Fourth Proportional to 2,667.79, 4,002.29 and 913.13

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Solution

The fourth proportional to 2,667.79, 4,002.29 and 913.13 is: 1,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.79 : 4,002.29 = 913.13 : x
  2. Step 2: Convert to fraction form
    2,667.79/4,002.29 = 913.13/x
  3. Step 3: Cross multiply
    2,667.79x = 4,002.29 × 913.13
  4. Step 4: Simplify right side
    2,667.79x = 3,654,611.07
  5. Step 5: Solve for x
    x = 3,654,611.07/2,667.79
  6. Step 6: Final answer
    x = 1,369.90

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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.