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Finding the Fourth Proportional to 2,330.71, 3,491.89 and 1,232.62

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Solution

The fourth proportional to 2,330.71, 3,491.89 and 1,232.62 is: 1,846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.71 : 3,491.89 = 1,232.62 : x
  2. Step 2: Convert to fraction form
    2,330.71/3,491.89 = 1,232.62/x
  3. Step 3: Cross multiply
    2,330.71x = 3,491.89 × 1,232.62
  4. Step 4: Simplify right side
    2,330.71x = 4,304,173.45
  5. Step 5: Solve for x
    x = 4,304,173.45/2,330.71
  6. Step 6: Final answer
    x = 1,846.72

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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.