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Finding the Fourth Proportional to 3,138.30, 4,701.09 and 1,489.86

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Solution

The fourth proportional to 3,138.30, 4,701.09 and 1,489.86 is: 2,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.30 : 4,701.09 = 1,489.86 : x
  2. Step 2: Convert to fraction form
    3,138.30/4,701.09 = 1,489.86/x
  3. Step 3: Cross multiply
    3,138.30x = 4,701.09 × 1,489.86
  4. Step 4: Simplify right side
    3,138.30x = 7,003,965.95
  5. Step 5: Solve for x
    x = 7,003,965.95/3,138.30
  6. Step 6: Final answer
    x = 2,231.77

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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.