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Finding the Fourth Proportional to 2,310.97, 3,188.13 and 1,564.66

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Solution

The fourth proportional to 2,310.97, 3,188.13 and 1,564.66 is: 2,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.97 : 3,188.13 = 1,564.66 : x
  2. Step 2: Convert to fraction form
    2,310.97/3,188.13 = 1,564.66/x
  3. Step 3: Cross multiply
    2,310.97x = 3,188.13 × 1,564.66
  4. Step 4: Simplify right side
    2,310.97x = 4,988,339.49
  5. Step 5: Solve for x
    x = 4,988,339.49/2,310.97
  6. Step 6: Final answer
    x = 2,158.55

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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.