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Finding the Fourth Proportional to 1,646.69, 2,471.69 and 1,285.43

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Solution

The fourth proportional to 1,646.69, 2,471.69 and 1,285.43 is: 1,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.69 : 2,471.69 = 1,285.43 : x
  2. Step 2: Convert to fraction form
    1,646.69/2,471.69 = 1,285.43/x
  3. Step 3: Cross multiply
    1,646.69x = 2,471.69 × 1,285.43
  4. Step 4: Simplify right side
    1,646.69x = 3,177,175.33
  5. Step 5: Solve for x
    x = 3,177,175.33/1,646.69
  6. Step 6: Final answer
    x = 1,929.44

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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.