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Finding the Fourth Proportional to 2,719.17, 4,078.62 and 771.12

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Solution

The fourth proportional to 2,719.17, 4,078.62 and 771.12 is: 1,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.17 : 4,078.62 = 771.12 : x
  2. Step 2: Convert to fraction form
    2,719.17/4,078.62 = 771.12/x
  3. Step 3: Cross multiply
    2,719.17x = 4,078.62 × 771.12
  4. Step 4: Simplify right side
    2,719.17x = 3,145,105.45
  5. Step 5: Solve for x
    x = 3,145,105.45/2,719.17
  6. Step 6: Final answer
    x = 1,156.64

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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.