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Finding the Fourth Proportional to 2,092.43, 2,887.43 and 1,148.03

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Solution

The fourth proportional to 2,092.43, 2,887.43 and 1,148.03 is: 1,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.43 : 2,887.43 = 1,148.03 : x
  2. Step 2: Convert to fraction form
    2,092.43/2,887.43 = 1,148.03/x
  3. Step 3: Cross multiply
    2,092.43x = 2,887.43 × 1,148.03
  4. Step 4: Simplify right side
    2,092.43x = 3,314,856.26
  5. Step 5: Solve for x
    x = 3,314,856.26/2,092.43
  6. Step 6: Final answer
    x = 1,584.21

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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.