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Finding the Fourth Proportional to 2,099.43, 2,894.15 and 1,467.99

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Solution

The fourth proportional to 2,099.43, 2,894.15 and 1,467.99 is: 2,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.43 : 2,894.15 = 1,467.99 : x
  2. Step 2: Convert to fraction form
    2,099.43/2,894.15 = 1,467.99/x
  3. Step 3: Cross multiply
    2,099.43x = 2,894.15 × 1,467.99
  4. Step 4: Simplify right side
    2,099.43x = 4,248,586.93
  5. Step 5: Solve for x
    x = 4,248,586.93/2,099.43
  6. Step 6: Final answer
    x = 2,023.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.