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Finding the Fourth Proportional to 3,220, 4,444.14 and 1,822.48

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Solution

The fourth proportional to 3,220, 4,444.14 and 1,822.48 is: 2,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220 : 4,444.14 = 1,822.48 : x
  2. Step 2: Convert to fraction form
    3,220/4,444.14 = 1,822.48/x
  3. Step 3: Cross multiply
    3,220x = 4,444.14 × 1,822.48
  4. Step 4: Simplify right side
    3,220x = 8,099,356.27
  5. Step 5: Solve for x
    x = 8,099,356.27/3,220
  6. Step 6: Final answer
    x = 2,515.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.