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Finding the Fourth Proportional to 2,188.86, 3,020.61 and 1,194.15

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Solution

The fourth proportional to 2,188.86, 3,020.61 and 1,194.15 is: 1,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.86 : 3,020.61 = 1,194.15 : x
  2. Step 2: Convert to fraction form
    2,188.86/3,020.61 = 1,194.15/x
  3. Step 3: Cross multiply
    2,188.86x = 3,020.61 × 1,194.15
  4. Step 4: Simplify right side
    2,188.86x = 3,607,061.43
  5. Step 5: Solve for x
    x = 3,607,061.43/2,188.86
  6. Step 6: Final answer
    x = 1,647.92

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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.