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Finding the Fourth Proportional to 2,719.45, 4,079.33 and 771.50

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Solution

The fourth proportional to 2,719.45, 4,079.33 and 771.50 is: 1,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.45 : 4,079.33 = 771.50 : x
  2. Step 2: Convert to fraction form
    2,719.45/4,079.33 = 771.50/x
  3. Step 3: Cross multiply
    2,719.45x = 4,079.33 × 771.50
  4. Step 4: Simplify right side
    2,719.45x = 3,147,203.10
  5. Step 5: Solve for x
    x = 3,147,203.10/2,719.45
  6. Step 6: Final answer
    x = 1,157.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.