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Finding the Fourth Proportional to 2,098.60, 2,891.07 and 1,467.95

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Solution

The fourth proportional to 2,098.60, 2,891.07 and 1,467.95 is: 2,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.60 : 2,891.07 = 1,467.95 : x
  2. Step 2: Convert to fraction form
    2,098.60/2,891.07 = 1,467.95/x
  3. Step 3: Cross multiply
    2,098.60x = 2,891.07 × 1,467.95
  4. Step 4: Simplify right side
    2,098.60x = 4,243,946.21
  5. Step 5: Solve for x
    x = 4,243,946.21/2,098.60
  6. Step 6: Final answer
    x = 2,022.27

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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.