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Finding the Fourth Proportional to 2,188.90, 3,020.65 and 1,194.15

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Solution

The fourth proportional to 2,188.90, 3,020.65 and 1,194.15 is: 1,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.90 : 3,020.65 = 1,194.15 : x
  2. Step 2: Convert to fraction form
    2,188.90/3,020.65 = 1,194.15/x
  3. Step 3: Cross multiply
    2,188.90x = 3,020.65 × 1,194.15
  4. Step 4: Simplify right side
    2,188.90x = 3,607,109.20
  5. Step 5: Solve for x
    x = 3,607,109.20/2,188.90
  6. Step 6: Final answer
    x = 1,647.91

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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.