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Finding the Fourth Proportional to 2,203.86, 3,305.76 and 643.87

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Solution

The fourth proportional to 2,203.86, 3,305.76 and 643.87 is: 965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.86 : 3,305.76 = 643.87 : x
  2. Step 2: Convert to fraction form
    2,203.86/3,305.76 = 643.87/x
  3. Step 3: Cross multiply
    2,203.86x = 3,305.76 × 643.87
  4. Step 4: Simplify right side
    2,203.86x = 2,128,479.69
  5. Step 5: Solve for x
    x = 2,128,479.69/2,203.86
  6. Step 6: Final answer
    x = 965.80

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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.