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Finding the Fourth Proportional to 2,032.92, 3,047.18 and 993.62

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Solution

The fourth proportional to 2,032.92, 3,047.18 and 993.62 is: 1,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.92 : 3,047.18 = 993.62 : x
  2. Step 2: Convert to fraction form
    2,032.92/3,047.18 = 993.62/x
  3. Step 3: Cross multiply
    2,032.92x = 3,047.18 × 993.62
  4. Step 4: Simplify right side
    2,032.92x = 3,027,741.64
  5. Step 5: Solve for x
    x = 3,027,741.64/2,032.92
  6. Step 6: Final answer
    x = 1,489.36

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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.