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Finding the Fourth Proportional to 2,305.13, 3,181.08 and 1,257.20

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Solution

The fourth proportional to 2,305.13, 3,181.08 and 1,257.20 is: 1,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.13 : 3,181.08 = 1,257.20 : x
  2. Step 2: Convert to fraction form
    2,305.13/3,181.08 = 1,257.20/x
  3. Step 3: Cross multiply
    2,305.13x = 3,181.08 × 1,257.20
  4. Step 4: Simplify right side
    2,305.13x = 3,999,237.87
  5. Step 5: Solve for x
    x = 3,999,237.87/2,305.13
  6. Step 6: Final answer
    x = 1,734.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.