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Finding the Fourth Proportional to 1,456.07, 1,998.70 and 1,324.85

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Solution

The fourth proportional to 1,456.07, 1,998.70 and 1,324.85 is: 1,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.07 : 1,998.70 = 1,324.85 : x
  2. Step 2: Convert to fraction form
    1,456.07/1,998.70 = 1,324.85/x
  3. Step 3: Cross multiply
    1,456.07x = 1,998.70 × 1,324.85
  4. Step 4: Simplify right side
    1,456.07x = 2,647,964.39
  5. Step 5: Solve for x
    x = 2,647,964.39/1,456.07
  6. Step 6: Final answer
    x = 1,818.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.