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Finding the Fourth Proportional to 1,596.01, 2,202.49 and 932.73

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Solution

The fourth proportional to 1,596.01, 2,202.49 and 932.73 is: 1,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.01 : 2,202.49 = 932.73 : x
  2. Step 2: Convert to fraction form
    1,596.01/2,202.49 = 932.73/x
  3. Step 3: Cross multiply
    1,596.01x = 2,202.49 × 932.73
  4. Step 4: Simplify right side
    1,596.01x = 2,054,337.92
  5. Step 5: Solve for x
    x = 2,054,337.92/1,596.01
  6. Step 6: Final answer
    x = 1,287.17

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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.