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Finding the Fourth Proportional to 3,214.26, 4,822.26 and 1,365.48

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Solution

The fourth proportional to 3,214.26, 4,822.26 and 1,365.48 is: 2,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.26 : 4,822.26 = 1,365.48 : x
  2. Step 2: Convert to fraction form
    3,214.26/4,822.26 = 1,365.48/x
  3. Step 3: Cross multiply
    3,214.26x = 4,822.26 × 1,365.48
  4. Step 4: Simplify right side
    3,214.26x = 6,584,699.58
  5. Step 5: Solve for x
    x = 6,584,699.58/3,214.26
  6. Step 6: Final answer
    x = 2,048.59

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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.