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Finding the Fourth Proportional to 2,128.70, 3,188.90 and 1,201.46

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Solution

The fourth proportional to 2,128.70, 3,188.90 and 1,201.46 is: 1,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.70 : 3,188.90 = 1,201.46 : x
  2. Step 2: Convert to fraction form
    2,128.70/3,188.90 = 1,201.46/x
  3. Step 3: Cross multiply
    2,128.70x = 3,188.90 × 1,201.46
  4. Step 4: Simplify right side
    2,128.70x = 3,831,328.34
  5. Step 5: Solve for x
    x = 3,831,328.34/2,128.70
  6. Step 6: Final answer
    x = 1,799.84

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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.