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Finding the Fourth Proportional to 2,574.26, 3,861.99 and 842.78

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Solution

The fourth proportional to 2,574.26, 3,861.99 and 842.78 is: 1,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.26 : 3,861.99 = 842.78 : x
  2. Step 2: Convert to fraction form
    2,574.26/3,861.99 = 842.78/x
  3. Step 3: Cross multiply
    2,574.26x = 3,861.99 × 842.78
  4. Step 4: Simplify right side
    2,574.26x = 3,254,807.93
  5. Step 5: Solve for x
    x = 3,254,807.93/2,574.26
  6. Step 6: Final answer
    x = 1,264.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.