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Finding the Fourth Proportional to 2,186.43, 3,262.84 and 1,952.88

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Solution

The fourth proportional to 2,186.43, 3,262.84 and 1,952.88 is: 2,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.43 : 3,262.84 = 1,952.88 : x
  2. Step 2: Convert to fraction form
    2,186.43/3,262.84 = 1,952.88/x
  3. Step 3: Cross multiply
    2,186.43x = 3,262.84 × 1,952.88
  4. Step 4: Simplify right side
    2,186.43x = 6,371,934.98
  5. Step 5: Solve for x
    x = 6,371,934.98/2,186.43
  6. Step 6: Final answer
    x = 2,914.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.