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Finding the Fourth Proportional to 2,089.77, 3,135.27 and 857.25

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Solution

The fourth proportional to 2,089.77, 3,135.27 and 857.25 is: 1,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.77 : 3,135.27 = 857.25 : x
  2. Step 2: Convert to fraction form
    2,089.77/3,135.27 = 857.25/x
  3. Step 3: Cross multiply
    2,089.77x = 3,135.27 × 857.25
  4. Step 4: Simplify right side
    2,089.77x = 2,687,713.42
  5. Step 5: Solve for x
    x = 2,687,713.42/2,089.77
  6. Step 6: Final answer
    x = 1,286.13

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1.5x scale

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.