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Finding the Fourth Proportional to 3,041.52, 4,197.31 and 1,644.27

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Solution

The fourth proportional to 3,041.52, 4,197.31 and 1,644.27 is: 2,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.52 : 4,197.31 = 1,644.27 : x
  2. Step 2: Convert to fraction form
    3,041.52/4,197.31 = 1,644.27/x
  3. Step 3: Cross multiply
    3,041.52x = 4,197.31 × 1,644.27
  4. Step 4: Simplify right side
    3,041.52x = 6,901,510.91
  5. Step 5: Solve for x
    x = 6,901,510.91/3,041.52
  6. Step 6: Final answer
    x = 2,269.10

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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.