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Finding the Fourth Proportional to 3,205.70, 4,805.70 and 1,256.43

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Solution

The fourth proportional to 3,205.70, 4,805.70 and 1,256.43 is: 1,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.70 : 4,805.70 = 1,256.43 : x
  2. Step 2: Convert to fraction form
    3,205.70/4,805.70 = 1,256.43/x
  3. Step 3: Cross multiply
    3,205.70x = 4,805.70 × 1,256.43
  4. Step 4: Simplify right side
    3,205.70x = 6,038,025.65
  5. Step 5: Solve for x
    x = 6,038,025.65/3,205.70
  6. Step 6: Final answer
    x = 1,883.53

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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.