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Finding the Fourth Proportional to 1,644.31, 2,458.98 and 1,228.13

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Solution

The fourth proportional to 1,644.31, 2,458.98 and 1,228.13 is: 1,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.31 : 2,458.98 = 1,228.13 : x
  2. Step 2: Convert to fraction form
    1,644.31/2,458.98 = 1,228.13/x
  3. Step 3: Cross multiply
    1,644.31x = 2,458.98 × 1,228.13
  4. Step 4: Simplify right side
    1,644.31x = 3,019,947.11
  5. Step 5: Solve for x
    x = 3,019,947.11/1,644.31
  6. Step 6: Final answer
    x = 1,836.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.