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Finding the Fourth Proportional to 2,305.19, 3,181.05 and 1,257.23

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Solution

The fourth proportional to 2,305.19, 3,181.05 and 1,257.23 is: 1,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.19 : 3,181.05 = 1,257.23 : x
  2. Step 2: Convert to fraction form
    2,305.19/3,181.05 = 1,257.23/x
  3. Step 3: Cross multiply
    2,305.19x = 3,181.05 × 1,257.23
  4. Step 4: Simplify right side
    2,305.19x = 3,999,311.49
  5. Step 5: Solve for x
    x = 3,999,311.49/2,305.19
  6. Step 6: Final answer
    x = 1,734.92

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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.