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Finding the Fourth Proportional to 2,914.71, 4,026.99 and 2,034.42

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Solution

The fourth proportional to 2,914.71, 4,026.99 and 2,034.42 is: 2,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.71 : 4,026.99 = 2,034.42 : x
  2. Step 2: Convert to fraction form
    2,914.71/4,026.99 = 2,034.42/x
  3. Step 3: Cross multiply
    2,914.71x = 4,026.99 × 2,034.42
  4. Step 4: Simplify right side
    2,914.71x = 8,192,589.00
  5. Step 5: Solve for x
    x = 8,192,589.00/2,914.71
  6. Step 6: Final answer
    x = 2,810.77

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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.