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Finding the Fourth Proportional to 2,331.30, 3,496.20 and 770.96

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Solution

The fourth proportional to 2,331.30, 3,496.20 and 770.96 is: 1,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.30 : 3,496.20 = 770.96 : x
  2. Step 2: Convert to fraction form
    2,331.30/3,496.20 = 770.96/x
  3. Step 3: Cross multiply
    2,331.30x = 3,496.20 × 770.96
  4. Step 4: Simplify right side
    2,331.30x = 2,695,412.87
  5. Step 5: Solve for x
    x = 2,695,412.87/2,331.30
  6. Step 6: Final answer
    x = 1,156.18

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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.