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Finding the Fourth Proportional to 2,188.68, 3,020.42 and 1,193.88

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Solution

The fourth proportional to 2,188.68, 3,020.42 and 1,193.88 is: 1,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.68 : 3,020.42 = 1,193.88 : x
  2. Step 2: Convert to fraction form
    2,188.68/3,020.42 = 1,193.88/x
  3. Step 3: Cross multiply
    2,188.68x = 3,020.42 × 1,193.88
  4. Step 4: Simplify right side
    2,188.68x = 3,606,019.03
  5. Step 5: Solve for x
    x = 3,606,019.03/2,188.68
  6. Step 6: Final answer
    x = 1,647.58

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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.