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Finding the Fourth Proportional to 2,188.63, 3,020.26 and 1,193.91

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Solution

The fourth proportional to 2,188.63, 3,020.26 and 1,193.91 is: 1,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.63 : 3,020.26 = 1,193.91 : x
  2. Step 2: Convert to fraction form
    2,188.63/3,020.26 = 1,193.91/x
  3. Step 3: Cross multiply
    2,188.63x = 3,020.26 × 1,193.91
  4. Step 4: Simplify right side
    2,188.63x = 3,605,918.62
  5. Step 5: Solve for x
    x = 3,605,918.62/2,188.63
  6. Step 6: Final answer
    x = 1,647.57

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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.