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Finding the Fourth Proportional to 2,051.27, 2,833.11 and 1,494.23

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Solution

The fourth proportional to 2,051.27, 2,833.11 and 1,494.23 is: 2,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.27 : 2,833.11 = 1,494.23 : x
  2. Step 2: Convert to fraction form
    2,051.27/2,833.11 = 1,494.23/x
  3. Step 3: Cross multiply
    2,051.27x = 2,833.11 × 1,494.23
  4. Step 4: Simplify right side
    2,051.27x = 4,233,310.87
  5. Step 5: Solve for x
    x = 4,233,310.87/2,051.27
  6. Step 6: Final answer
    x = 2,063.75

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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.