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Finding the Fourth Proportional to 3,056.91, 4,218.54 and 1,659.66

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Solution

The fourth proportional to 3,056.91, 4,218.54 and 1,659.66 is: 2,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.91 : 4,218.54 = 1,659.66 : x
  2. Step 2: Convert to fraction form
    3,056.91/4,218.54 = 1,659.66/x
  3. Step 3: Cross multiply
    3,056.91x = 4,218.54 × 1,659.66
  4. Step 4: Simplify right side
    3,056.91x = 7,001,320.05
  5. Step 5: Solve for x
    x = 7,001,320.05/3,056.91
  6. Step 6: Final answer
    x = 2,290.33

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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.