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Finding the Fourth Proportional to 2,294.19, 3,441.51 and 734.43

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Solution

The fourth proportional to 2,294.19, 3,441.51 and 734.43 is: 1,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.19 : 3,441.51 = 734.43 : x
  2. Step 2: Convert to fraction form
    2,294.19/3,441.51 = 734.43/x
  3. Step 3: Cross multiply
    2,294.19x = 3,441.51 × 734.43
  4. Step 4: Simplify right side
    2,294.19x = 2,527,548.19
  5. Step 5: Solve for x
    x = 2,527,548.19/2,294.19
  6. Step 6: Final answer
    x = 1,101.72

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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.