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Finding the Fourth Proportional to 2,733.72, 3,774.92 and 2,143.23

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Solution

The fourth proportional to 2,733.72, 3,774.92 and 2,143.23 is: 2,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.72 : 3,774.92 = 2,143.23 : x
  2. Step 2: Convert to fraction form
    2,733.72/3,774.92 = 2,143.23/x
  3. Step 3: Cross multiply
    2,733.72x = 3,774.92 × 2,143.23
  4. Step 4: Simplify right side
    2,733.72x = 8,090,511.08
  5. Step 5: Solve for x
    x = 8,090,511.08/2,733.72
  6. Step 6: Final answer
    x = 2,959.52

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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.