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Finding the Fourth Proportional to 2,188.47, 3,286.62 and 2,100.38

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Solution

The fourth proportional to 2,188.47, 3,286.62 and 2,100.38 is: 3,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.47 : 3,286.62 = 2,100.38 : x
  2. Step 2: Convert to fraction form
    2,188.47/3,286.62 = 2,100.38/x
  3. Step 3: Cross multiply
    2,188.47x = 3,286.62 × 2,100.38
  4. Step 4: Simplify right side
    2,188.47x = 6,903,159.13
  5. Step 5: Solve for x
    x = 6,903,159.13/2,188.47
  6. Step 6: Final answer
    x = 3,154.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.