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Finding the Fourth Proportional to 2,693.17, 3,716.19 and 1,498.09

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Solution

The fourth proportional to 2,693.17, 3,716.19 and 1,498.09 is: 2,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.17 : 3,716.19 = 1,498.09 : x
  2. Step 2: Convert to fraction form
    2,693.17/3,716.19 = 1,498.09/x
  3. Step 3: Cross multiply
    2,693.17x = 3,716.19 × 1,498.09
  4. Step 4: Simplify right side
    2,693.17x = 5,567,174.11
  5. Step 5: Solve for x
    x = 5,567,174.11/2,693.17
  6. Step 6: Final answer
    x = 2,067.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.