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Finding the Fourth Proportional to 2,601.12, 3,902.22 and 1,506.54

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Solution

The fourth proportional to 2,601.12, 3,902.22 and 1,506.54 is: 2,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.12 : 3,902.22 = 1,506.54 : x
  2. Step 2: Convert to fraction form
    2,601.12/3,902.22 = 1,506.54/x
  3. Step 3: Cross multiply
    2,601.12x = 3,902.22 × 1,506.54
  4. Step 4: Simplify right side
    2,601.12x = 5,878,850.52
  5. Step 5: Solve for x
    x = 5,878,850.52/2,601.12
  6. Step 6: Final answer
    x = 2,260.12

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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.