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Finding the Fourth Proportional to 2,601.72, 3,902.16 and 1,215

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Solution

The fourth proportional to 2,601.72, 3,902.16 and 1,215 is: 1,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.72 : 3,902.16 = 1,215 : x
  2. Step 2: Convert to fraction form
    2,601.72/3,902.16 = 1,215/x
  3. Step 3: Cross multiply
    2,601.72x = 3,902.16 × 1,215
  4. Step 4: Simplify right side
    2,601.72x = 4,741,124.40
  5. Step 5: Solve for x
    x = 4,741,124.40/2,601.72
  6. Step 6: Final answer
    x = 1,822.30

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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.