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Finding the Fourth Proportional to 1,644.68, 2,269.46 and 981.41

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Solution

The fourth proportional to 1,644.68, 2,269.46 and 981.41 is: 1,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.68 : 2,269.46 = 981.41 : x
  2. Step 2: Convert to fraction form
    1,644.68/2,269.46 = 981.41/x
  3. Step 3: Cross multiply
    1,644.68x = 2,269.46 × 981.41
  4. Step 4: Simplify right side
    1,644.68x = 2,227,254.48
  5. Step 5: Solve for x
    x = 2,227,254.48/1,644.68
  6. Step 6: Final answer
    x = 1,354.22

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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.