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Finding the Fourth Proportional to 1,435.86, 2,151.22 and 871.97

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Solution

The fourth proportional to 1,435.86, 2,151.22 and 871.97 is: 1,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.86 : 2,151.22 = 871.97 : x
  2. Step 2: Convert to fraction form
    1,435.86/2,151.22 = 871.97/x
  3. Step 3: Cross multiply
    1,435.86x = 2,151.22 × 871.97
  4. Step 4: Simplify right side
    1,435.86x = 1,875,786.37
  5. Step 5: Solve for x
    x = 1,875,786.37/1,435.86
  6. Step 6: Final answer
    x = 1,306.39

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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.