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Finding the Fourth Proportional to 3,203.22, 4,801.98 and 1,256.78

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Solution

The fourth proportional to 3,203.22, 4,801.98 and 1,256.78 is: 1,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.22 : 4,801.98 = 1,256.78 : x
  2. Step 2: Convert to fraction form
    3,203.22/4,801.98 = 1,256.78/x
  3. Step 3: Cross multiply
    3,203.22x = 4,801.98 × 1,256.78
  4. Step 4: Simplify right side
    3,203.22x = 6,035,032.42
  5. Step 5: Solve for x
    x = 6,035,032.42/3,203.22
  6. Step 6: Final answer
    x = 1,884.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.