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Finding the Fourth Proportional to 2,188.32, 3,019.90 and 1,193.62

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Solution

The fourth proportional to 2,188.32, 3,019.90 and 1,193.62 is: 1,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.32 : 3,019.90 = 1,193.62 : x
  2. Step 2: Convert to fraction form
    2,188.32/3,019.90 = 1,193.62/x
  3. Step 3: Cross multiply
    2,188.32x = 3,019.90 × 1,193.62
  4. Step 4: Simplify right side
    2,188.32x = 3,604,620.00
  5. Step 5: Solve for x
    x = 3,604,620.00/2,188.32
  6. Step 6: Final answer
    x = 1,647.21

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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.