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Finding the Fourth Proportional to 2,069.78, 2,856.21 and 1,138.22

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Solution

The fourth proportional to 2,069.78, 2,856.21 and 1,138.22 is: 1,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.78 : 2,856.21 = 1,138.22 : x
  2. Step 2: Convert to fraction form
    2,069.78/2,856.21 = 1,138.22/x
  3. Step 3: Cross multiply
    2,069.78x = 2,856.21 × 1,138.22
  4. Step 4: Simplify right side
    2,069.78x = 3,250,995.35
  5. Step 5: Solve for x
    x = 3,250,995.35/2,069.78
  6. Step 6: Final answer
    x = 1,570.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.