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Finding the Fourth Proportional to 3,203.09, 4,804.23 and 1,256.66

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Solution

The fourth proportional to 3,203.09, 4,804.23 and 1,256.66 is: 1,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.09 : 4,804.23 = 1,256.66 : x
  2. Step 2: Convert to fraction form
    3,203.09/4,804.23 = 1,256.66/x
  3. Step 3: Cross multiply
    3,203.09x = 4,804.23 × 1,256.66
  4. Step 4: Simplify right side
    3,203.09x = 6,037,283.67
  5. Step 5: Solve for x
    x = 6,037,283.67/3,203.09
  6. Step 6: Final answer
    x = 1,884.83

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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.