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Finding the Fourth Proportional to 3,220.63, 4,444.39 and 1,894.42

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Solution

The fourth proportional to 3,220.63, 4,444.39 and 1,894.42 is: 2,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.63 : 4,444.39 = 1,894.42 : x
  2. Step 2: Convert to fraction form
    3,220.63/4,444.39 = 1,894.42/x
  3. Step 3: Cross multiply
    3,220.63x = 4,444.39 × 1,894.42
  4. Step 4: Simplify right side
    3,220.63x = 8,419,509.61
  5. Step 5: Solve for x
    x = 8,419,509.61/3,220.63
  6. Step 6: Final answer
    x = 2,614.24

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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.