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Finding the Fourth Proportional to 2,186.95, 3,017.91 and 1,192.21

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Solution

The fourth proportional to 2,186.95, 3,017.91 and 1,192.21 is: 1,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.95 : 3,017.91 = 1,192.21 : x
  2. Step 2: Convert to fraction form
    2,186.95/3,017.91 = 1,192.21/x
  3. Step 3: Cross multiply
    2,186.95x = 3,017.91 × 1,192.21
  4. Step 4: Simplify right side
    2,186.95x = 3,597,979.41
  5. Step 5: Solve for x
    x = 3,597,979.41/2,186.95
  6. Step 6: Final answer
    x = 1,645.20

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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.