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Finding the Fourth Proportional to 3,231.66, 4,838.78 and 1,689.42

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Solution

The fourth proportional to 3,231.66, 4,838.78 and 1,689.42 is: 2,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.66 : 4,838.78 = 1,689.42 : x
  2. Step 2: Convert to fraction form
    3,231.66/4,838.78 = 1,689.42/x
  3. Step 3: Cross multiply
    3,231.66x = 4,838.78 × 1,689.42
  4. Step 4: Simplify right side
    3,231.66x = 8,174,731.71
  5. Step 5: Solve for x
    x = 8,174,731.71/3,231.66
  6. Step 6: Final answer
    x = 2,529.58

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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.