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Finding the Fourth Proportional to 2,181.56, 3,010.56 and 1,186.84

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Solution

The fourth proportional to 2,181.56, 3,010.56 and 1,186.84 is: 1,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.56 : 3,010.56 = 1,186.84 : x
  2. Step 2: Convert to fraction form
    2,181.56/3,010.56 = 1,186.84/x
  3. Step 3: Cross multiply
    2,181.56x = 3,010.56 × 1,186.84
  4. Step 4: Simplify right side
    2,181.56x = 3,573,053.03
  5. Step 5: Solve for x
    x = 3,573,053.03/2,181.56
  6. Step 6: Final answer
    x = 1,637.84

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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.