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Finding the Fourth Proportional to 3,162.38, 4,744.78 and 1,602.32

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Solution

The fourth proportional to 3,162.38, 4,744.78 and 1,602.32 is: 2,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.38 : 4,744.78 = 1,602.32 : x
  2. Step 2: Convert to fraction form
    3,162.38/4,744.78 = 1,602.32/x
  3. Step 3: Cross multiply
    3,162.38x = 4,744.78 × 1,602.32
  4. Step 4: Simplify right side
    3,162.38x = 7,602,628.16
  5. Step 5: Solve for x
    x = 7,602,628.16/3,162.38
  6. Step 6: Final answer
    x = 2,404.09

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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.