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Finding the Fourth Proportional to 4,065.98, 6,099.20 and 1,600.14

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Solution

The fourth proportional to 4,065.98, 6,099.20 and 1,600.14 is: 2,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.98 : 6,099.20 = 1,600.14 : x
  2. Step 2: Convert to fraction form
    4,065.98/6,099.20 = 1,600.14/x
  3. Step 3: Cross multiply
    4,065.98x = 6,099.20 × 1,600.14
  4. Step 4: Simplify right side
    4,065.98x = 9,759,573.89
  5. Step 5: Solve for x
    x = 9,759,573.89/4,065.98
  6. Step 6: Final answer
    x = 2,400.30

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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.