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Finding the Fourth Proportional to 2,129.42, 3,189.98 and 1,202.18

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Solution

The fourth proportional to 2,129.42, 3,189.98 and 1,202.18 is: 1,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.42 : 3,189.98 = 1,202.18 : x
  2. Step 2: Convert to fraction form
    2,129.42/3,189.98 = 1,202.18/x
  3. Step 3: Cross multiply
    2,129.42x = 3,189.98 × 1,202.18
  4. Step 4: Simplify right side
    2,129.42x = 3,834,917.21
  5. Step 5: Solve for x
    x = 3,834,917.21/2,129.42
  6. Step 6: Final answer
    x = 1,800.92

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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.