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Finding the Fourth Proportional to 2,032.45, 3,047.42 and 798.41

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Solution

The fourth proportional to 2,032.45, 3,047.42 and 798.41 is: 1,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.45 : 3,047.42 = 798.41 : x
  2. Step 2: Convert to fraction form
    2,032.45/3,047.42 = 798.41/x
  3. Step 3: Cross multiply
    2,032.45x = 3,047.42 × 798.41
  4. Step 4: Simplify right side
    2,032.45x = 2,433,090.60
  5. Step 5: Solve for x
    x = 2,433,090.60/2,032.45
  6. Step 6: Final answer
    x = 1,197.12

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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.