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Finding the Fourth Proportional to 1,616.80, 2,231.28 and 908.66

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Solution

The fourth proportional to 1,616.80, 2,231.28 and 908.66 is: 1,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.80 : 2,231.28 = 908.66 : x
  2. Step 2: Convert to fraction form
    1,616.80/2,231.28 = 908.66/x
  3. Step 3: Cross multiply
    1,616.80x = 2,231.28 × 908.66
  4. Step 4: Simplify right side
    1,616.80x = 2,027,474.88
  5. Step 5: Solve for x
    x = 2,027,474.88/1,616.80
  6. Step 6: Final answer
    x = 1,254.00

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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.