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Finding the Fourth Proportional to 3,342.48, 5,012.24 and 1,782.19

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Solution

The fourth proportional to 3,342.48, 5,012.24 and 1,782.19 is: 2,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.48 : 5,012.24 = 1,782.19 : x
  2. Step 2: Convert to fraction form
    3,342.48/5,012.24 = 1,782.19/x
  3. Step 3: Cross multiply
    3,342.48x = 5,012.24 × 1,782.19
  4. Step 4: Simplify right side
    3,342.48x = 8,932,764.01
  5. Step 5: Solve for x
    x = 8,932,764.01/3,342.48
  6. Step 6: Final answer
    x = 2,672.50

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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.