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Finding the Fourth Proportional to 2,667.90, 4,002.48 and 912.92

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Solution

The fourth proportional to 2,667.90, 4,002.48 and 912.92 is: 1,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.90 : 4,002.48 = 912.92 : x
  2. Step 2: Convert to fraction form
    2,667.90/4,002.48 = 912.92/x
  3. Step 3: Cross multiply
    2,667.90x = 4,002.48 × 912.92
  4. Step 4: Simplify right side
    2,667.90x = 3,653,957.80
  5. Step 5: Solve for x
    x = 3,653,957.80/2,667.90
  6. Step 6: Final answer
    x = 1,369.60

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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.