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Finding the Fourth Proportional to 2,102.82, 2,894.61 and 2,026.29

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Solution

The fourth proportional to 2,102.82, 2,894.61 and 2,026.29 is: 2,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.82 : 2,894.61 = 2,026.29 : x
  2. Step 2: Convert to fraction form
    2,102.82/2,894.61 = 2,026.29/x
  3. Step 3: Cross multiply
    2,102.82x = 2,894.61 × 2,026.29
  4. Step 4: Simplify right side
    2,102.82x = 5,865,319.30
  5. Step 5: Solve for x
    x = 5,865,319.30/2,102.82
  6. Step 6: Final answer
    x = 2,789.26

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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.