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Finding the Fourth Proportional to 2,863.50, 3,952.35 and 1,622.22

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Solution

The fourth proportional to 2,863.50, 3,952.35 and 1,622.22 is: 2,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.50 : 3,952.35 = 1,622.22 : x
  2. Step 2: Convert to fraction form
    2,863.50/3,952.35 = 1,622.22/x
  3. Step 3: Cross multiply
    2,863.50x = 3,952.35 × 1,622.22
  4. Step 4: Simplify right side
    2,863.50x = 6,411,581.22
  5. Step 5: Solve for x
    x = 6,411,581.22/2,863.50
  6. Step 6: Final answer
    x = 2,239.07

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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.