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Finding the Fourth Proportional to 2,873.88, 3,967.38 and 1,947.24

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Solution

The fourth proportional to 2,873.88, 3,967.38 and 1,947.24 is: 2,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.88 : 3,967.38 = 1,947.24 : x
  2. Step 2: Convert to fraction form
    2,873.88/3,967.38 = 1,947.24/x
  3. Step 3: Cross multiply
    2,873.88x = 3,967.38 × 1,947.24
  4. Step 4: Simplify right side
    2,873.88x = 7,725,441.03
  5. Step 5: Solve for x
    x = 7,725,441.03/2,873.88
  6. Step 6: Final answer
    x = 2,688.16

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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.