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Finding the Fourth Proportional to 2,188.89, 3,041.67 and 2,166.42

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Solution

The fourth proportional to 2,188.89, 3,041.67 and 2,166.42 is: 3,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.89 : 3,041.67 = 2,166.42 : x
  2. Step 2: Convert to fraction form
    2,188.89/3,041.67 = 2,166.42/x
  3. Step 3: Cross multiply
    2,188.89x = 3,041.67 × 2,166.42
  4. Step 4: Simplify right side
    2,188.89x = 6,589,534.72
  5. Step 5: Solve for x
    x = 6,589,534.72/2,188.89
  6. Step 6: Final answer
    x = 3,010.45

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.