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Finding the Fourth Proportional to 2,197.70, 3,033.51 and 1,808.90

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Solution

The fourth proportional to 2,197.70, 3,033.51 and 1,808.90 is: 2,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.70 : 3,033.51 = 1,808.90 : x
  2. Step 2: Convert to fraction form
    2,197.70/3,033.51 = 1,808.90/x
  3. Step 3: Cross multiply
    2,197.70x = 3,033.51 × 1,808.90
  4. Step 4: Simplify right side
    2,197.70x = 5,487,316.24
  5. Step 5: Solve for x
    x = 5,487,316.24/2,197.70
  6. Step 6: Final answer
    x = 2,496.84

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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.