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Finding the Fourth Proportional to 2,873.34, 3,964.41 and 1,614.40

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Solution

The fourth proportional to 2,873.34, 3,964.41 and 1,614.40 is: 2,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.34 : 3,964.41 = 1,614.40 : x
  2. Step 2: Convert to fraction form
    2,873.34/3,964.41 = 1,614.40/x
  3. Step 3: Cross multiply
    2,873.34x = 3,964.41 × 1,614.40
  4. Step 4: Simplify right side
    2,873.34x = 6,400,133.59
  5. Step 5: Solve for x
    x = 6,400,133.59/2,873.34
  6. Step 6: Final answer
    x = 2,227.42

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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.