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Finding the Fourth Proportional to 1,550.69, 2,324.23 and 857.78

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Solution

The fourth proportional to 1,550.69, 2,324.23 and 857.78 is: 1,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.69 : 2,324.23 = 857.78 : x
  2. Step 2: Convert to fraction form
    1,550.69/2,324.23 = 857.78/x
  3. Step 3: Cross multiply
    1,550.69x = 2,324.23 × 857.78
  4. Step 4: Simplify right side
    1,550.69x = 1,993,678.01
  5. Step 5: Solve for x
    x = 1,993,678.01/1,550.69
  6. Step 6: Final answer
    x = 1,285.67

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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.