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Finding the Fourth Proportional to 2,856.28, 3,943.14 and 1,970.54

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Solution

The fourth proportional to 2,856.28, 3,943.14 and 1,970.54 is: 2,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.28 : 3,943.14 = 1,970.54 : x
  2. Step 2: Convert to fraction form
    2,856.28/3,943.14 = 1,970.54/x
  3. Step 3: Cross multiply
    2,856.28x = 3,943.14 × 1,970.54
  4. Step 4: Simplify right side
    2,856.28x = 7,770,124.95
  5. Step 5: Solve for x
    x = 7,770,124.95/2,856.28
  6. Step 6: Final answer
    x = 2,720.37

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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.