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Finding the Fourth Proportional to 1,645.83, 2,269.71 and 1,481.79

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Solution

The fourth proportional to 1,645.83, 2,269.71 and 1,481.79 is: 2,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.83 : 2,269.71 = 1,481.79 : x
  2. Step 2: Convert to fraction form
    1,645.83/2,269.71 = 1,481.79/x
  3. Step 3: Cross multiply
    1,645.83x = 2,269.71 × 1,481.79
  4. Step 4: Simplify right side
    1,645.83x = 3,363,233.58
  5. Step 5: Solve for x
    x = 3,363,233.58/1,645.83
  6. Step 6: Final answer
    x = 2,043.49

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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.