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Finding the Fourth Proportional to 1,954.12, 2,931.24 and 857.92

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Solution

The fourth proportional to 1,954.12, 2,931.24 and 857.92 is: 1,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.12 : 2,931.24 = 857.92 : x
  2. Step 2: Convert to fraction form
    1,954.12/2,931.24 = 857.92/x
  3. Step 3: Cross multiply
    1,954.12x = 2,931.24 × 857.92
  4. Step 4: Simplify right side
    1,954.12x = 2,514,769.42
  5. Step 5: Solve for x
    x = 2,514,769.42/1,954.12
  6. Step 6: Final answer
    x = 1,286.91

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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.