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Finding the Fourth Proportional to 2,012.50, 3,019.92 and 842.32

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Solution

The fourth proportional to 2,012.50, 3,019.92 and 842.32 is: 1,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.50 : 3,019.92 = 842.32 : x
  2. Step 2: Convert to fraction form
    2,012.50/3,019.92 = 842.32/x
  3. Step 3: Cross multiply
    2,012.50x = 3,019.92 × 842.32
  4. Step 4: Simplify right side
    2,012.50x = 2,543,739.01
  5. Step 5: Solve for x
    x = 2,543,739.01/2,012.50
  6. Step 6: Final answer
    x = 1,263.97

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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.