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Finding the Fourth Proportional to 1,841.99, 2,764.13 and 746.36

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Solution

The fourth proportional to 1,841.99, 2,764.13 and 746.36 is: 1,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.99 : 2,764.13 = 746.36 : x
  2. Step 2: Convert to fraction form
    1,841.99/2,764.13 = 746.36/x
  3. Step 3: Cross multiply
    1,841.99x = 2,764.13 × 746.36
  4. Step 4: Simplify right side
    1,841.99x = 2,063,044.43
  5. Step 5: Solve for x
    x = 2,063,044.43/1,841.99
  6. Step 6: Final answer
    x = 1,120.01

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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.