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Finding the Fourth Proportional to 3,204.02, 4,804.40 and 1,255.70

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Solution

The fourth proportional to 3,204.02, 4,804.40 and 1,255.70 is: 1,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.02 : 4,804.40 = 1,255.70 : x
  2. Step 2: Convert to fraction form
    3,204.02/4,804.40 = 1,255.70/x
  3. Step 3: Cross multiply
    3,204.02x = 4,804.40 × 1,255.70
  4. Step 4: Simplify right side
    3,204.02x = 6,032,885.08
  5. Step 5: Solve for x
    x = 6,032,885.08/3,204.02
  6. Step 6: Final answer
    x = 1,882.91

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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.