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Finding the Fourth Proportional to 1,933.88, 2,670.11 and 1,708.09

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Solution

The fourth proportional to 1,933.88, 2,670.11 and 1,708.09 is: 2,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.88 : 2,670.11 = 1,708.09 : x
  2. Step 2: Convert to fraction form
    1,933.88/2,670.11 = 1,708.09/x
  3. Step 3: Cross multiply
    1,933.88x = 2,670.11 × 1,708.09
  4. Step 4: Simplify right side
    1,933.88x = 4,560,788.19
  5. Step 5: Solve for x
    x = 4,560,788.19/1,933.88
  6. Step 6: Final answer
    x = 2,358.36

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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.