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Finding the Fourth Proportional to 2,231.37, 3,345.89 and 770.18

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Solution

The fourth proportional to 2,231.37, 3,345.89 and 770.18 is: 1,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.37 : 3,345.89 = 770.18 : x
  2. Step 2: Convert to fraction form
    2,231.37/3,345.89 = 770.18/x
  3. Step 3: Cross multiply
    2,231.37x = 3,345.89 × 770.18
  4. Step 4: Simplify right side
    2,231.37x = 2,576,916.98
  5. Step 5: Solve for x
    x = 2,576,916.98/2,231.37
  6. Step 6: Final answer
    x = 1,154.86

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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.