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Finding the Fourth Proportional to 2,664.93, 3,997.43 and 1,494.75

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Solution

The fourth proportional to 2,664.93, 3,997.43 and 1,494.75 is: 2,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.93 : 3,997.43 = 1,494.75 : x
  2. Step 2: Convert to fraction form
    2,664.93/3,997.43 = 1,494.75/x
  3. Step 3: Cross multiply
    2,664.93x = 3,997.43 × 1,494.75
  4. Step 4: Simplify right side
    2,664.93x = 5,975,158.49
  5. Step 5: Solve for x
    x = 5,975,158.49/2,664.93
  6. Step 6: Final answer
    x = 2,242.14

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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.