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Finding the Fourth Proportional to 4,099.32, 6,144.66 and 2,043

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Solution

The fourth proportional to 4,099.32, 6,144.66 and 2,043 is: 3,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.32 : 6,144.66 = 2,043 : x
  2. Step 2: Convert to fraction form
    4,099.32/6,144.66 = 2,043/x
  3. Step 3: Cross multiply
    4,099.32x = 6,144.66 × 2,043
  4. Step 4: Simplify right side
    4,099.32x = 12,553,540.38
  5. Step 5: Solve for x
    x = 12,553,540.38/4,099.32
  6. Step 6: Final answer
    x = 3,062.35

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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.