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Finding the Fourth Proportional to 2,982.92, 4,116.11 and 1,656.32

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Solution

The fourth proportional to 2,982.92, 4,116.11 and 1,656.32 is: 2,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.92 : 4,116.11 = 1,656.32 : x
  2. Step 2: Convert to fraction form
    2,982.92/4,116.11 = 1,656.32/x
  3. Step 3: Cross multiply
    2,982.92x = 4,116.11 × 1,656.32
  4. Step 4: Simplify right side
    2,982.92x = 6,817,566.45
  5. Step 5: Solve for x
    x = 6,817,566.45/2,982.92
  6. Step 6: Final answer
    x = 2,285.54

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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.