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Finding the Fourth Proportional to 2,719.89, 4,079.03 and 771.57

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Solution

The fourth proportional to 2,719.89, 4,079.03 and 771.57 is: 1,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.89 : 4,079.03 = 771.57 : x
  2. Step 2: Convert to fraction form
    2,719.89/4,079.03 = 771.57/x
  3. Step 3: Cross multiply
    2,719.89x = 4,079.03 × 771.57
  4. Step 4: Simplify right side
    2,719.89x = 3,147,253.32
  5. Step 5: Solve for x
    x = 3,147,253.32/2,719.89
  6. Step 6: Final answer
    x = 1,157.13

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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.