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Finding the Fourth Proportional to 1,664.20, 2,493.87 and 933.99

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Solution

The fourth proportional to 1,664.20, 2,493.87 and 933.99 is: 1,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.20 : 2,493.87 = 933.99 : x
  2. Step 2: Convert to fraction form
    1,664.20/2,493.87 = 933.99/x
  3. Step 3: Cross multiply
    1,664.20x = 2,493.87 × 933.99
  4. Step 4: Simplify right side
    1,664.20x = 2,329,249.64
  5. Step 5: Solve for x
    x = 2,329,249.64/1,664.20
  6. Step 6: Final answer
    x = 1,399.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.