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Finding the Fourth Proportional to 2,664.84, 3,997.27 and 933.06

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Solution

The fourth proportional to 2,664.84, 3,997.27 and 933.06 is: 1,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.84 : 3,997.27 = 933.06 : x
  2. Step 2: Convert to fraction form
    2,664.84/3,997.27 = 933.06/x
  3. Step 3: Cross multiply
    2,664.84x = 3,997.27 × 933.06
  4. Step 4: Simplify right side
    2,664.84x = 3,729,690.41
  5. Step 5: Solve for x
    x = 3,729,690.41/2,664.84
  6. Step 6: Final answer
    x = 1,399.59

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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.