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Finding the Fourth Proportional to 4,063.70, 6,091.90 and 1,600.20

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Solution

The fourth proportional to 4,063.70, 6,091.90 and 1,600.20 is: 2,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.70 : 6,091.90 = 1,600.20 : x
  2. Step 2: Convert to fraction form
    4,063.70/6,091.90 = 1,600.20/x
  3. Step 3: Cross multiply
    4,063.70x = 6,091.90 × 1,600.20
  4. Step 4: Simplify right side
    4,063.70x = 9,748,258.38
  5. Step 5: Solve for x
    x = 9,748,258.38/4,063.70
  6. Step 6: Final answer
    x = 2,398.86

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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.