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Finding the Fourth Proportional to 2,188.47, 3,020.05 and 1,193.79

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Solution

The fourth proportional to 2,188.47, 3,020.05 and 1,193.79 is: 1,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.47 : 3,020.05 = 1,193.79 : x
  2. Step 2: Convert to fraction form
    2,188.47/3,020.05 = 1,193.79/x
  3. Step 3: Cross multiply
    2,188.47x = 3,020.05 × 1,193.79
  4. Step 4: Simplify right side
    2,188.47x = 3,605,305.49
  5. Step 5: Solve for x
    x = 3,605,305.49/2,188.47
  6. Step 6: Final answer
    x = 1,647.41

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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.