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Finding the Fourth Proportional to 2,207.54, 3,311.97 and 1,507.60

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Solution

The fourth proportional to 2,207.54, 3,311.97 and 1,507.60 is: 2,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.54 : 3,311.97 = 1,507.60 : x
  2. Step 2: Convert to fraction form
    2,207.54/3,311.97 = 1,507.60/x
  3. Step 3: Cross multiply
    2,207.54x = 3,311.97 × 1,507.60
  4. Step 4: Simplify right side
    2,207.54x = 4,993,125.97
  5. Step 5: Solve for x
    x = 4,993,125.97/2,207.54
  6. Step 6: Final answer
    x = 2,261.85

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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.