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Finding the Fourth Proportional to 2,906.52, 4,010.68 and 1,727.88

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Solution

The fourth proportional to 2,906.52, 4,010.68 and 1,727.88 is: 2,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.52 : 4,010.68 = 1,727.88 : x
  2. Step 2: Convert to fraction form
    2,906.52/4,010.68 = 1,727.88/x
  3. Step 3: Cross multiply
    2,906.52x = 4,010.68 × 1,727.88
  4. Step 4: Simplify right side
    2,906.52x = 6,929,973.76
  5. Step 5: Solve for x
    x = 6,929,973.76/2,906.52
  6. Step 6: Final answer
    x = 2,384.29

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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.