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Finding the Fourth Proportional to 2,217.22, 3,323.82 and 1,393

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Solution

The fourth proportional to 2,217.22, 3,323.82 and 1,393 is: 2,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.22 : 3,323.82 = 1,393 : x
  2. Step 2: Convert to fraction form
    2,217.22/3,323.82 = 1,393/x
  3. Step 3: Cross multiply
    2,217.22x = 3,323.82 × 1,393
  4. Step 4: Simplify right side
    2,217.22x = 4,630,081.26
  5. Step 5: Solve for x
    x = 4,630,081.26/2,217.22
  6. Step 6: Final answer
    x = 2,088.24

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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.