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Finding the Fourth Proportional to 1,593.41, 2,390.94 and 669.62

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Solution

The fourth proportional to 1,593.41, 2,390.94 and 669.62 is: 1,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.41 : 2,390.94 = 669.62 : x
  2. Step 2: Convert to fraction form
    1,593.41/2,390.94 = 669.62/x
  3. Step 3: Cross multiply
    1,593.41x = 2,390.94 × 669.62
  4. Step 4: Simplify right side
    1,593.41x = 1,601,021.24
  5. Step 5: Solve for x
    x = 1,601,021.24/1,593.41
  6. Step 6: Final answer
    x = 1,004.78

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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.