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Finding the Fourth Proportional to 2,682.56, 4,023.72 and 951.44

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Solution

The fourth proportional to 2,682.56, 4,023.72 and 951.44 is: 1,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.56 : 4,023.72 = 951.44 : x
  2. Step 2: Convert to fraction form
    2,682.56/4,023.72 = 951.44/x
  3. Step 3: Cross multiply
    2,682.56x = 4,023.72 × 951.44
  4. Step 4: Simplify right side
    2,682.56x = 3,828,328.16
  5. Step 5: Solve for x
    x = 3,828,328.16/2,682.56
  6. Step 6: Final answer
    x = 1,427.12

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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.