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Finding the Fourth Proportional to 2,197.52, 3,032.76 and 1,600.20

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Solution

The fourth proportional to 2,197.52, 3,032.76 and 1,600.20 is: 2,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.52 : 3,032.76 = 1,600.20 : x
  2. Step 2: Convert to fraction form
    2,197.52/3,032.76 = 1,600.20/x
  3. Step 3: Cross multiply
    2,197.52x = 3,032.76 × 1,600.20
  4. Step 4: Simplify right side
    2,197.52x = 4,853,022.55
  5. Step 5: Solve for x
    x = 4,853,022.55/2,197.52
  6. Step 6: Final answer
    x = 2,208.41

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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.