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Finding the Fourth Proportional to 2,197.76, 3,029.24 and 1,823.54

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Solution

The fourth proportional to 2,197.76, 3,029.24 and 1,823.54 is: 2,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.76 : 3,029.24 = 1,823.54 : x
  2. Step 2: Convert to fraction form
    2,197.76/3,029.24 = 1,823.54/x
  3. Step 3: Cross multiply
    2,197.76x = 3,029.24 × 1,823.54
  4. Step 4: Simplify right side
    2,197.76x = 5,523,940.31
  5. Step 5: Solve for x
    x = 5,523,940.31/2,197.76
  6. Step 6: Final answer
    x = 2,513.44

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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.