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Finding the Fourth Proportional to 2,932.06, 4,391.70 and 1,468.66

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Solution

The fourth proportional to 2,932.06, 4,391.70 and 1,468.66 is: 2,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.06 : 4,391.70 = 1,468.66 : x
  2. Step 2: Convert to fraction form
    2,932.06/4,391.70 = 1,468.66/x
  3. Step 3: Cross multiply
    2,932.06x = 4,391.70 × 1,468.66
  4. Step 4: Simplify right side
    2,932.06x = 6,449,914.12
  5. Step 5: Solve for x
    x = 6,449,914.12/2,932.06
  6. Step 6: Final answer
    x = 2,199.79

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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.