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Finding the Fourth Proportional to 2,667.77, 4,002.23 and 912.93

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Solution

The fourth proportional to 2,667.77, 4,002.23 and 912.93 is: 1,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.77 : 4,002.23 = 912.93 : x
  2. Step 2: Convert to fraction form
    2,667.77/4,002.23 = 912.93/x
  3. Step 3: Cross multiply
    2,667.77x = 4,002.23 × 912.93
  4. Step 4: Simplify right side
    2,667.77x = 3,653,755.83
  5. Step 5: Solve for x
    x = 3,653,755.83/2,667.77
  6. Step 6: Final answer
    x = 1,369.59

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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.