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Finding the Fourth Proportional to 2,659.57, 3,670.33 and 2,216.73

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Solution

The fourth proportional to 2,659.57, 3,670.33 and 2,216.73 is: 3,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.57 : 3,670.33 = 2,216.73 : x
  2. Step 2: Convert to fraction form
    2,659.57/3,670.33 = 2,216.73/x
  3. Step 3: Cross multiply
    2,659.57x = 3,670.33 × 2,216.73
  4. Step 4: Simplify right side
    2,659.57x = 8,136,130.62
  5. Step 5: Solve for x
    x = 8,136,130.62/2,659.57
  6. Step 6: Final answer
    x = 3,059.19

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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.