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Finding the Fourth Proportional to 2,188.79, 3,020.58 and 1,194.06

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Solution

The fourth proportional to 2,188.79, 3,020.58 and 1,194.06 is: 1,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.79 : 3,020.58 = 1,194.06 : x
  2. Step 2: Convert to fraction form
    2,188.79/3,020.58 = 1,194.06/x
  3. Step 3: Cross multiply
    2,188.79x = 3,020.58 × 1,194.06
  4. Step 4: Simplify right side
    2,188.79x = 3,606,753.75
  5. Step 5: Solve for x
    x = 3,606,753.75/2,188.79
  6. Step 6: Final answer
    x = 1,647.83

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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.