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Finding the Fourth Proportional to 2,293.88, 3,166.27 and 1,465.88

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Solution

The fourth proportional to 2,293.88, 3,166.27 and 1,465.88 is: 2,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.88 : 3,166.27 = 1,465.88 : x
  2. Step 2: Convert to fraction form
    2,293.88/3,166.27 = 1,465.88/x
  3. Step 3: Cross multiply
    2,293.88x = 3,166.27 × 1,465.88
  4. Step 4: Simplify right side
    2,293.88x = 4,641,371.87
  5. Step 5: Solve for x
    x = 4,641,371.87/2,293.88
  6. Step 6: Final answer
    x = 2,023.37

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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.