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Finding the Fourth Proportional to 2,032.44, 3,045.96 and 1,894.20

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Solution

The fourth proportional to 2,032.44, 3,045.96 and 1,894.20 is: 2,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.44 : 3,045.96 = 1,894.20 : x
  2. Step 2: Convert to fraction form
    2,032.44/3,045.96 = 1,894.20/x
  3. Step 3: Cross multiply
    2,032.44x = 3,045.96 × 1,894.20
  4. Step 4: Simplify right side
    2,032.44x = 5,769,657.43
  5. Step 5: Solve for x
    x = 5,769,657.43/2,032.44
  6. Step 6: Final answer
    x = 2,838.78

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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.