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Finding the Fourth Proportional to 2,719.18, 4,078.68 and 771.58

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Solution

The fourth proportional to 2,719.18, 4,078.68 and 771.58 is: 1,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.18 : 4,078.68 = 771.58 : x
  2. Step 2: Convert to fraction form
    2,719.18/4,078.68 = 771.58/x
  3. Step 3: Cross multiply
    2,719.18x = 4,078.68 × 771.58
  4. Step 4: Simplify right side
    2,719.18x = 3,147,027.91
  5. Step 5: Solve for x
    x = 3,147,027.91/2,719.18
  6. Step 6: Final answer
    x = 1,157.34

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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.