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Finding the Fourth Proportional to 2,186.69, 3,017.64 and 1,191.97

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Solution

The fourth proportional to 2,186.69, 3,017.64 and 1,191.97 is: 1,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.69 : 3,017.64 = 1,191.97 : x
  2. Step 2: Convert to fraction form
    2,186.69/3,017.64 = 1,191.97/x
  3. Step 3: Cross multiply
    2,186.69x = 3,017.64 × 1,191.97
  4. Step 4: Simplify right side
    2,186.69x = 3,596,936.35
  5. Step 5: Solve for x
    x = 3,596,936.35/2,186.69
  6. Step 6: Final answer
    x = 1,644.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.