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Finding the Fourth Proportional to 2,327.42, 3,491.17 and 596.05

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Solution

The fourth proportional to 2,327.42, 3,491.17 and 596.05 is: 894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.42 : 3,491.17 = 596.05 : x
  2. Step 2: Convert to fraction form
    2,327.42/3,491.17 = 596.05/x
  3. Step 3: Cross multiply
    2,327.42x = 3,491.17 × 596.05
  4. Step 4: Simplify right side
    2,327.42x = 2,080,901.66
  5. Step 5: Solve for x
    x = 2,080,901.66/2,327.42
  6. Step 6: Final answer
    x = 894.08

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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.