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Finding the Fourth Proportional to 2,232.03, 3,349.58 and 771.19

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Solution

The fourth proportional to 2,232.03, 3,349.58 and 771.19 is: 1,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.03 : 3,349.58 = 771.19 : x
  2. Step 2: Convert to fraction form
    2,232.03/3,349.58 = 771.19/x
  3. Step 3: Cross multiply
    2,232.03x = 3,349.58 × 771.19
  4. Step 4: Simplify right side
    2,232.03x = 2,583,145.85
  5. Step 5: Solve for x
    x = 2,583,145.85/2,232.03
  6. Step 6: Final answer
    x = 1,157.31

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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.