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Finding the Fourth Proportional to 2,709.31, 3,738.48 and 1,514.17

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Solution

The fourth proportional to 2,709.31, 3,738.48 and 1,514.17 is: 2,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.31 : 3,738.48 = 1,514.17 : x
  2. Step 2: Convert to fraction form
    2,709.31/3,738.48 = 1,514.17/x
  3. Step 3: Cross multiply
    2,709.31x = 3,738.48 × 1,514.17
  4. Step 4: Simplify right side
    2,709.31x = 5,660,694.26
  5. Step 5: Solve for x
    x = 5,660,694.26/2,709.31
  6. Step 6: Final answer
    x = 2,089.35

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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.