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Finding the Fourth Proportional to 3,581.32, 4,942.26 and 1,988

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Solution

The fourth proportional to 3,581.32, 4,942.26 and 1,988 is: 2,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.32 : 4,942.26 = 1,988 : x
  2. Step 2: Convert to fraction form
    3,581.32/4,942.26 = 1,988/x
  3. Step 3: Cross multiply
    3,581.32x = 4,942.26 × 1,988
  4. Step 4: Simplify right side
    3,581.32x = 9,825,212.88
  5. Step 5: Solve for x
    x = 9,825,212.88/3,581.32
  6. Step 6: Final answer
    x = 2,743.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.