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Finding the Fourth Proportional to 1,893, 2,837.61 and 797.97

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Solution

The fourth proportional to 1,893, 2,837.61 and 797.97 is: 1,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893 : 2,837.61 = 797.97 : x
  2. Step 2: Convert to fraction form
    1,893/2,837.61 = 797.97/x
  3. Step 3: Cross multiply
    1,893x = 2,837.61 × 797.97
  4. Step 4: Simplify right side
    1,893x = 2,264,327.65
  5. Step 5: Solve for x
    x = 2,264,327.65/1,893
  6. Step 6: Final answer
    x = 1,196.16

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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.