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Finding the Fourth Proportional to 2,203.21, 3,305.63 and 904.78

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Solution

The fourth proportional to 2,203.21, 3,305.63 and 904.78 is: 1,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.21 : 3,305.63 = 904.78 : x
  2. Step 2: Convert to fraction form
    2,203.21/3,305.63 = 904.78/x
  3. Step 3: Cross multiply
    2,203.21x = 3,305.63 × 904.78
  4. Step 4: Simplify right side
    2,203.21x = 2,990,867.91
  5. Step 5: Solve for x
    x = 2,990,867.91/2,203.21
  6. Step 6: Final answer
    x = 1,357.50

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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.