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Finding the Fourth Proportional to 4,154.70, 6,232.65 and 1,232.62

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Solution

The fourth proportional to 4,154.70, 6,232.65 and 1,232.62 is: 1,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.70 : 6,232.65 = 1,232.62 : x
  2. Step 2: Convert to fraction form
    4,154.70/6,232.65 = 1,232.62/x
  3. Step 3: Cross multiply
    4,154.70x = 6,232.65 × 1,232.62
  4. Step 4: Simplify right side
    4,154.70x = 7,682,489.04
  5. Step 5: Solve for x
    x = 7,682,489.04/4,154.70
  6. Step 6: Final answer
    x = 1,849.11

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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.