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Finding the Fourth Proportional to 4,199.46, 6,297.34 and 1,600.57

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Solution

The fourth proportional to 4,199.46, 6,297.34 and 1,600.57 is: 2,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.46 : 6,297.34 = 1,600.57 : x
  2. Step 2: Convert to fraction form
    4,199.46/6,297.34 = 1,600.57/x
  3. Step 3: Cross multiply
    4,199.46x = 6,297.34 × 1,600.57
  4. Step 4: Simplify right side
    4,199.46x = 10,079,333.48
  5. Step 5: Solve for x
    x = 10,079,333.48/4,199.46
  6. Step 6: Final answer
    x = 2,400.15

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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.