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Finding the Fourth Proportional to 2,982.61, 4,116.03 and 1,656.44

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Solution

The fourth proportional to 2,982.61, 4,116.03 and 1,656.44 is: 2,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.61 : 4,116.03 = 1,656.44 : x
  2. Step 2: Convert to fraction form
    2,982.61/4,116.03 = 1,656.44/x
  3. Step 3: Cross multiply
    2,982.61x = 4,116.03 × 1,656.44
  4. Step 4: Simplify right side
    2,982.61x = 6,817,956.73
  5. Step 5: Solve for x
    x = 6,817,956.73/2,982.61
  6. Step 6: Final answer
    x = 2,285.90

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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.