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Finding the Fourth Proportional to 2,188.22, 3,019.84 and 1,193.46

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Solution

The fourth proportional to 2,188.22, 3,019.84 and 1,193.46 is: 1,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.22 : 3,019.84 = 1,193.46 : x
  2. Step 2: Convert to fraction form
    2,188.22/3,019.84 = 1,193.46/x
  3. Step 3: Cross multiply
    2,188.22x = 3,019.84 × 1,193.46
  4. Step 4: Simplify right side
    2,188.22x = 3,604,058.25
  5. Step 5: Solve for x
    x = 3,604,058.25/2,188.22
  6. Step 6: Final answer
    x = 1,647.03

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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.