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Finding the Fourth Proportional to 2,128.40, 3,188.44 and 1,201.15

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Solution

The fourth proportional to 2,128.40, 3,188.44 and 1,201.15 is: 1,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.40 : 3,188.44 = 1,201.15 : x
  2. Step 2: Convert to fraction form
    2,128.40/3,188.44 = 1,201.15/x
  3. Step 3: Cross multiply
    2,128.40x = 3,188.44 × 1,201.15
  4. Step 4: Simplify right side
    2,128.40x = 3,829,794.71
  5. Step 5: Solve for x
    x = 3,829,794.71/2,128.40
  6. Step 6: Final answer
    x = 1,799.38

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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.