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Finding the Fourth Proportional to 2,186.82, 3,016.06 and 1,346.02

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Solution

The fourth proportional to 2,186.82, 3,016.06 and 1,346.02 is: 1,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.82 : 3,016.06 = 1,346.02 : x
  2. Step 2: Convert to fraction form
    2,186.82/3,016.06 = 1,346.02/x
  3. Step 3: Cross multiply
    2,186.82x = 3,016.06 × 1,346.02
  4. Step 4: Simplify right side
    2,186.82x = 4,059,666.18
  5. Step 5: Solve for x
    x = 4,059,666.18/2,186.82
  6. Step 6: Final answer
    x = 1,856.42

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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.