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Finding the Fourth Proportional to 2,719.10, 4,078.58 and 771.30

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Solution

The fourth proportional to 2,719.10, 4,078.58 and 771.30 is: 1,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.10 : 4,078.58 = 771.30 : x
  2. Step 2: Convert to fraction form
    2,719.10/4,078.58 = 771.30/x
  3. Step 3: Cross multiply
    2,719.10x = 4,078.58 × 771.30
  4. Step 4: Simplify right side
    2,719.10x = 3,145,804.90
  5. Step 5: Solve for x
    x = 3,145,804.90/2,719.10
  6. Step 6: Final answer
    x = 1,156.93

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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.