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Finding the Fourth Proportional to 2,092.59, 2,887.58 and 1,253.28

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Solution

The fourth proportional to 2,092.59, 2,887.58 and 1,253.28 is: 1,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.59 : 2,887.58 = 1,253.28 : x
  2. Step 2: Convert to fraction form
    2,092.59/2,887.58 = 1,253.28/x
  3. Step 3: Cross multiply
    2,092.59x = 2,887.58 × 1,253.28
  4. Step 4: Simplify right side
    2,092.59x = 3,618,936.93
  5. Step 5: Solve for x
    x = 3,618,936.93/2,092.59
  6. Step 6: Final answer
    x = 1,729.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.