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Finding the Fourth Proportional to 2,327.38, 3,491.10 and 596.00

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Solution

The fourth proportional to 2,327.38, 3,491.10 and 596.00 is: 894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.38 : 3,491.10 = 596.00 : x
  2. Step 2: Convert to fraction form
    2,327.38/3,491.10 = 596.00/x
  3. Step 3: Cross multiply
    2,327.38x = 3,491.10 × 596.00
  4. Step 4: Simplify right side
    2,327.38x = 2,080,704.33
  5. Step 5: Solve for x
    x = 2,080,704.33/2,327.38
  6. Step 6: Final answer
    x = 894.01

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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.