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Finding the Fourth Proportional to 2,203.22, 3,303.25 and 1,032.56

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Solution

The fourth proportional to 2,203.22, 3,303.25 and 1,032.56 is: 1,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.22 : 3,303.25 = 1,032.56 : x
  2. Step 2: Convert to fraction form
    2,203.22/3,303.25 = 1,032.56/x
  3. Step 3: Cross multiply
    2,203.22x = 3,303.25 × 1,032.56
  4. Step 4: Simplify right side
    2,203.22x = 3,410,809.50
  5. Step 5: Solve for x
    x = 3,410,809.50/2,203.22
  6. Step 6: Final answer
    x = 1,548.11

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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.