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Finding the Fourth Proportional to 2,719.56, 4,080.10 and 771.78

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Solution

The fourth proportional to 2,719.56, 4,080.10 and 771.78 is: 1,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.56 : 4,080.10 = 771.78 : x
  2. Step 2: Convert to fraction form
    2,719.56/4,080.10 = 771.78/x
  3. Step 3: Cross multiply
    2,719.56x = 4,080.10 × 771.78
  4. Step 4: Simplify right side
    2,719.56x = 3,148,939.58
  5. Step 5: Solve for x
    x = 3,148,939.58/2,719.56
  6. Step 6: Final answer
    x = 1,157.89

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1.5x scale

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.