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Finding the Fourth Proportional to 2,181.08, 3,009.14 and 1,236.78

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Solution

The fourth proportional to 2,181.08, 3,009.14 and 1,236.78 is: 1,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.08 : 3,009.14 = 1,236.78 : x
  2. Step 2: Convert to fraction form
    2,181.08/3,009.14 = 1,236.78/x
  3. Step 3: Cross multiply
    2,181.08x = 3,009.14 × 1,236.78
  4. Step 4: Simplify right side
    2,181.08x = 3,721,644.17
  5. Step 5: Solve for x
    x = 3,721,644.17/2,181.08
  6. Step 6: Final answer
    x = 1,706.33

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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.