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Finding the Fourth Proportional to 1,644.05, 2,460.47 and 1,280.49

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Solution

The fourth proportional to 1,644.05, 2,460.47 and 1,280.49 is: 1,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.05 : 2,460.47 = 1,280.49 : x
  2. Step 2: Convert to fraction form
    1,644.05/2,460.47 = 1,280.49/x
  3. Step 3: Cross multiply
    1,644.05x = 2,460.47 × 1,280.49
  4. Step 4: Simplify right side
    1,644.05x = 3,150,600.83
  5. Step 5: Solve for x
    x = 3,150,600.83/1,644.05
  6. Step 6: Final answer
    x = 1,916.37

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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.