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Finding the Fourth Proportional to 1,893.24, 2,838.99 and 797.01

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Solution

The fourth proportional to 1,893.24, 2,838.99 and 797.01 is: 1,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.24 : 2,838.99 = 797.01 : x
  2. Step 2: Convert to fraction form
    1,893.24/2,838.99 = 797.01/x
  3. Step 3: Cross multiply
    1,893.24x = 2,838.99 × 797.01
  4. Step 4: Simplify right side
    1,893.24x = 2,262,703.42
  5. Step 5: Solve for x
    x = 2,262,703.42/1,893.24
  6. Step 6: Final answer
    x = 1,195.15

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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.