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Finding the Fourth Proportional to 1,837.71, 2,755.85 and 797.63

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Solution

The fourth proportional to 1,837.71, 2,755.85 and 797.63 is: 1,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.71 : 2,755.85 = 797.63 : x
  2. Step 2: Convert to fraction form
    1,837.71/2,755.85 = 797.63/x
  3. Step 3: Cross multiply
    1,837.71x = 2,755.85 × 797.63
  4. Step 4: Simplify right side
    1,837.71x = 2,198,130.87
  5. Step 5: Solve for x
    x = 2,198,130.87/1,837.71
  6. Step 6: Final answer
    x = 1,196.12

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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.