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Finding the Fourth Proportional to 2,341.64, 3,231.49 and 1,293.70

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Solution

The fourth proportional to 2,341.64, 3,231.49 and 1,293.70 is: 1,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.64 : 3,231.49 = 1,293.70 : x
  2. Step 2: Convert to fraction form
    2,341.64/3,231.49 = 1,293.70/x
  3. Step 3: Cross multiply
    2,341.64x = 3,231.49 × 1,293.70
  4. Step 4: Simplify right side
    2,341.64x = 4,180,578.61
  5. Step 5: Solve for x
    x = 4,180,578.61/2,341.64
  6. Step 6: Final answer
    x = 1,785.32

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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.