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Finding the Fourth Proportional to 2,092.35, 2,887.35 and 1,148.12

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Solution

The fourth proportional to 2,092.35, 2,887.35 and 1,148.12 is: 1,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.35 : 2,887.35 = 1,148.12 : x
  2. Step 2: Convert to fraction form
    2,092.35/2,887.35 = 1,148.12/x
  3. Step 3: Cross multiply
    2,092.35x = 2,887.35 × 1,148.12
  4. Step 4: Simplify right side
    2,092.35x = 3,315,023.21
  5. Step 5: Solve for x
    x = 3,315,023.21/2,092.35
  6. Step 6: Final answer
    x = 1,584.35

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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.