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Finding the Fourth Proportional to 2,293.17, 3,164.49 and 1,245.21

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Solution

The fourth proportional to 2,293.17, 3,164.49 and 1,245.21 is: 1,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.17 : 3,164.49 = 1,245.21 : x
  2. Step 2: Convert to fraction form
    2,293.17/3,164.49 = 1,245.21/x
  3. Step 3: Cross multiply
    2,293.17x = 3,164.49 × 1,245.21
  4. Step 4: Simplify right side
    2,293.17x = 3,940,454.59
  5. Step 5: Solve for x
    x = 3,940,454.59/2,293.17
  6. Step 6: Final answer
    x = 1,718.34

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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.