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Finding the Fourth Proportional to 2,188.40, 3,020.03 and 1,193.71

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Solution

The fourth proportional to 2,188.40, 3,020.03 and 1,193.71 is: 1,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.40 : 3,020.03 = 1,193.71 : x
  2. Step 2: Convert to fraction form
    2,188.40/3,020.03 = 1,193.71/x
  3. Step 3: Cross multiply
    2,188.40x = 3,020.03 × 1,193.71
  4. Step 4: Simplify right side
    2,188.40x = 3,605,052.43
  5. Step 5: Solve for x
    x = 3,605,052.43/2,188.40
  6. Step 6: Final answer
    x = 1,647.35

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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.