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Finding the Fourth Proportional to 1,954.48, 2,932.33 and 656.01

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Solution

The fourth proportional to 1,954.48, 2,932.33 and 656.01 is: 984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.48 : 2,932.33 = 656.01 : x
  2. Step 2: Convert to fraction form
    1,954.48/2,932.33 = 656.01/x
  3. Step 3: Cross multiply
    1,954.48x = 2,932.33 × 656.01
  4. Step 4: Simplify right side
    1,954.48x = 1,923,623.14
  5. Step 5: Solve for x
    x = 1,923,623.14/1,954.48
  6. Step 6: Final answer
    x = 984.21

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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.