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Finding the Fourth Proportional to 3,204.70, 4,804.20 and 1,256.45

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Solution

The fourth proportional to 3,204.70, 4,804.20 and 1,256.45 is: 1,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.70 : 4,804.20 = 1,256.45 : x
  2. Step 2: Convert to fraction form
    3,204.70/4,804.20 = 1,256.45/x
  3. Step 3: Cross multiply
    3,204.70x = 4,804.20 × 1,256.45
  4. Step 4: Simplify right side
    3,204.70x = 6,036,237.09
  5. Step 5: Solve for x
    x = 6,036,237.09/3,204.70
  6. Step 6: Final answer
    x = 1,883.56

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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.