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Finding the Fourth Proportional to 2,092.34, 2,887.42 and 1,148.13

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Solution

The fourth proportional to 2,092.34, 2,887.42 and 1,148.13 is: 1,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.34 : 2,887.42 = 1,148.13 : x
  2. Step 2: Convert to fraction form
    2,092.34/2,887.42 = 1,148.13/x
  3. Step 3: Cross multiply
    2,092.34x = 2,887.42 × 1,148.13
  4. Step 4: Simplify right side
    2,092.34x = 3,315,133.52
  5. Step 5: Solve for x
    x = 3,315,133.52/2,092.34
  6. Step 6: Final answer
    x = 1,584.41

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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.