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Finding the Fourth Proportional to 1,662.88, 2,494.50 and 933.16

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Solution

The fourth proportional to 1,662.88, 2,494.50 and 933.16 is: 1,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.88 : 2,494.50 = 933.16 : x
  2. Step 2: Convert to fraction form
    1,662.88/2,494.50 = 933.16/x
  3. Step 3: Cross multiply
    1,662.88x = 2,494.50 × 933.16
  4. Step 4: Simplify right side
    1,662.88x = 2,327,767.62
  5. Step 5: Solve for x
    x = 2,327,767.62/1,662.88
  6. Step 6: Final answer
    x = 1,399.84

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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.