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Finding the Fourth Proportional to 2,175.79, 3,264.88 and 943.21

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Solution

The fourth proportional to 2,175.79, 3,264.88 and 943.21 is: 1,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.79 : 3,264.88 = 943.21 : x
  2. Step 2: Convert to fraction form
    2,175.79/3,264.88 = 943.21/x
  3. Step 3: Cross multiply
    2,175.79x = 3,264.88 × 943.21
  4. Step 4: Simplify right side
    2,175.79x = 3,079,456.94
  5. Step 5: Solve for x
    x = 3,079,456.94/2,175.79
  6. Step 6: Final answer
    x = 1,415.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.