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Finding the Fourth Proportional to 3,056.80, 4,221.82 and 2,066.16

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Solution

The fourth proportional to 3,056.80, 4,221.82 and 2,066.16 is: 2,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.80 : 4,221.82 = 2,066.16 : x
  2. Step 2: Convert to fraction form
    3,056.80/4,221.82 = 2,066.16/x
  3. Step 3: Cross multiply
    3,056.80x = 4,221.82 × 2,066.16
  4. Step 4: Simplify right side
    3,056.80x = 8,722,955.61
  5. Step 5: Solve for x
    x = 8,722,955.61/3,056.80
  6. Step 6: Final answer
    x = 2,853.62

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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.