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Finding the Fourth Proportional to 2,032.94, 3,049.20 and 800.18

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Solution

The fourth proportional to 2,032.94, 3,049.20 and 800.18 is: 1,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.94 : 3,049.20 = 800.18 : x
  2. Step 2: Convert to fraction form
    2,032.94/3,049.20 = 800.18/x
  3. Step 3: Cross multiply
    2,032.94x = 3,049.20 × 800.18
  4. Step 4: Simplify right side
    2,032.94x = 2,439,908.86
  5. Step 5: Solve for x
    x = 2,439,908.86/2,032.94
  6. Step 6: Final answer
    x = 1,200.19

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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.