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Finding the Fourth Proportional to 1,833.90, 2,752.14 and 680.62

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Solution

The fourth proportional to 1,833.90, 2,752.14 and 680.62 is: 1,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.90 : 2,752.14 = 680.62 : x
  2. Step 2: Convert to fraction form
    1,833.90/2,752.14 = 680.62/x
  3. Step 3: Cross multiply
    1,833.90x = 2,752.14 × 680.62
  4. Step 4: Simplify right side
    1,833.90x = 1,873,161.53
  5. Step 5: Solve for x
    x = 1,873,161.53/1,833.90
  6. Step 6: Final answer
    x = 1,021.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.