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Finding the Fourth Proportional to 2,099.73, 2,897.64 and 1,168.23

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Solution

The fourth proportional to 2,099.73, 2,897.64 and 1,168.23 is: 1,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.73 : 2,897.64 = 1,168.23 : x
  2. Step 2: Convert to fraction form
    2,099.73/2,897.64 = 1,168.23/x
  3. Step 3: Cross multiply
    2,099.73x = 2,897.64 × 1,168.23
  4. Step 4: Simplify right side
    2,099.73x = 3,385,109.98
  5. Step 5: Solve for x
    x = 3,385,109.98/2,099.73
  6. Step 6: Final answer
    x = 1,612.16

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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.