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Finding the Fourth Proportional to 2,099.64, 3,148.29 and 1,442.28

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Solution

The fourth proportional to 2,099.64, 3,148.29 and 1,442.28 is: 2,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.64 : 3,148.29 = 1,442.28 : x
  2. Step 2: Convert to fraction form
    2,099.64/3,148.29 = 1,442.28/x
  3. Step 3: Cross multiply
    2,099.64x = 3,148.29 × 1,442.28
  4. Step 4: Simplify right side
    2,099.64x = 4,540,715.70
  5. Step 5: Solve for x
    x = 4,540,715.70/2,099.64
  6. Step 6: Final answer
    x = 2,162.62

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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.