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Finding the Fourth Proportional to 2,232.34, 3,349.10 and 771.60

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Solution

The fourth proportional to 2,232.34, 3,349.10 and 771.60 is: 1,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.34 : 3,349.10 = 771.60 : x
  2. Step 2: Convert to fraction form
    2,232.34/3,349.10 = 771.60/x
  3. Step 3: Cross multiply
    2,232.34x = 3,349.10 × 771.60
  4. Step 4: Simplify right side
    2,232.34x = 2,584,165.56
  5. Step 5: Solve for x
    x = 2,584,165.56/2,232.34
  6. Step 6: Final answer
    x = 1,157.60

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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.