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Finding the Fourth Proportional to 2,104.72, 3,157.72 and 1,237.20

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Solution

The fourth proportional to 2,104.72, 3,157.72 and 1,237.20 is: 1,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.72 : 3,157.72 = 1,237.20 : x
  2. Step 2: Convert to fraction form
    2,104.72/3,157.72 = 1,237.20/x
  3. Step 3: Cross multiply
    2,104.72x = 3,157.72 × 1,237.20
  4. Step 4: Simplify right side
    2,104.72x = 3,906,731.18
  5. Step 5: Solve for x
    x = 3,906,731.18/2,104.72
  6. Step 6: Final answer
    x = 1,856.18

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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.