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Finding the Fourth Proportional to 2,096.51, 3,141.80 and 1,655.82

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Solution

The fourth proportional to 2,096.51, 3,141.80 and 1,655.82 is: 2,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.51 : 3,141.80 = 1,655.82 : x
  2. Step 2: Convert to fraction form
    2,096.51/3,141.80 = 1,655.82/x
  3. Step 3: Cross multiply
    2,096.51x = 3,141.80 × 1,655.82
  4. Step 4: Simplify right side
    2,096.51x = 5,202,255.28
  5. Step 5: Solve for x
    x = 5,202,255.28/2,096.51
  6. Step 6: Final answer
    x = 2,481.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.