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Finding the Fourth Proportional to 1,645.71, 2,468.69 and 1,280.94

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Solution

The fourth proportional to 1,645.71, 2,468.69 and 1,280.94 is: 1,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.71 : 2,468.69 = 1,280.94 : x
  2. Step 2: Convert to fraction form
    1,645.71/2,468.69 = 1,280.94/x
  3. Step 3: Cross multiply
    1,645.71x = 2,468.69 × 1,280.94
  4. Step 4: Simplify right side
    1,645.71x = 3,162,243.77
  5. Step 5: Solve for x
    x = 3,162,243.77/1,645.71
  6. Step 6: Final answer
    x = 1,921.51

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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.