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Finding the Fourth Proportional to 2,982.82, 4,116 and 1,656.22

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Solution

The fourth proportional to 2,982.82, 4,116 and 1,656.22 is: 2,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.82 : 4,116 = 1,656.22 : x
  2. Step 2: Convert to fraction form
    2,982.82/4,116 = 1,656.22/x
  3. Step 3: Cross multiply
    2,982.82x = 4,116 × 1,656.22
  4. Step 4: Simplify right side
    2,982.82x = 6,817,001.52
  5. Step 5: Solve for x
    x = 6,817,001.52/2,982.82
  6. Step 6: Final answer
    x = 2,285.42

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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.