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Finding the Fourth Proportional to 3,271.56, 4,907.30 and 806.40

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Solution

The fourth proportional to 3,271.56, 4,907.30 and 806.40 is: 1,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.56 : 4,907.30 = 806.40 : x
  2. Step 2: Convert to fraction form
    3,271.56/4,907.30 = 806.40/x
  3. Step 3: Cross multiply
    3,271.56x = 4,907.30 × 806.40
  4. Step 4: Simplify right side
    3,271.56x = 3,957,242.69
  5. Step 5: Solve for x
    x = 3,957,242.69/3,271.56
  6. Step 6: Final answer
    x = 1,209.59

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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.