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Finding the Fourth Proportional to 2,693.17, 3,716.92 and 1,514.24

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Solution

The fourth proportional to 2,693.17, 3,716.92 and 1,514.24 is: 2,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.17 : 3,716.92 = 1,514.24 : x
  2. Step 2: Convert to fraction form
    2,693.17/3,716.92 = 1,514.24/x
  3. Step 3: Cross multiply
    2,693.17x = 3,716.92 × 1,514.24
  4. Step 4: Simplify right side
    2,693.17x = 5,628,308.94
  5. Step 5: Solve for x
    x = 5,628,308.94/2,693.17
  6. Step 6: Final answer
    x = 2,089.85

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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.