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Finding the Fourth Proportional to 2,197.86, 3,032.45 and 1,253.31

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Solution

The fourth proportional to 2,197.86, 3,032.45 and 1,253.31 is: 1,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.86 : 3,032.45 = 1,253.31 : x
  2. Step 2: Convert to fraction form
    2,197.86/3,032.45 = 1,253.31/x
  3. Step 3: Cross multiply
    2,197.86x = 3,032.45 × 1,253.31
  4. Step 4: Simplify right side
    2,197.86x = 3,800,582.27
  5. Step 5: Solve for x
    x = 3,800,582.27/2,197.86
  6. Step 6: Final answer
    x = 1,729.22

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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.