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Finding the Fourth Proportional to 2,186.77, 3,257.13 and 2,141.20

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Solution

The fourth proportional to 2,186.77, 3,257.13 and 2,141.20 is: 3,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.77 : 3,257.13 = 2,141.20 : x
  2. Step 2: Convert to fraction form
    2,186.77/3,257.13 = 2,141.20/x
  3. Step 3: Cross multiply
    2,186.77x = 3,257.13 × 2,141.20
  4. Step 4: Simplify right side
    2,186.77x = 6,974,156.05
  5. Step 5: Solve for x
    x = 6,974,156.05/2,186.77
  6. Step 6: Final answer
    x = 3,189.25

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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.