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Finding the Fourth Proportional to 2,327.40, 3,491.10 and 596.03

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Solution

The fourth proportional to 2,327.40, 3,491.10 and 596.03 is: 894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.40 : 3,491.10 = 596.03 : x
  2. Step 2: Convert to fraction form
    2,327.40/3,491.10 = 596.03/x
  3. Step 3: Cross multiply
    2,327.40x = 3,491.10 × 596.03
  4. Step 4: Simplify right side
    2,327.40x = 2,080,782.88
  5. Step 5: Solve for x
    x = 2,080,782.88/2,327.40
  6. Step 6: Final answer
    x = 894.04

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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.