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Finding the Fourth Proportional to 2,254.13, 3,381.19 and 793.11

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Solution

The fourth proportional to 2,254.13, 3,381.19 and 793.11 is: 1,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.13 : 3,381.19 = 793.11 : x
  2. Step 2: Convert to fraction form
    2,254.13/3,381.19 = 793.11/x
  3. Step 3: Cross multiply
    2,254.13x = 3,381.19 × 793.11
  4. Step 4: Simplify right side
    2,254.13x = 2,681,653.62
  5. Step 5: Solve for x
    x = 2,681,653.62/2,254.13
  6. Step 6: Final answer
    x = 1,189.67

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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.