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Finding the Fourth Proportional to 2,705.20, 4,063.04 and 2,558.04

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Solution

The fourth proportional to 2,705.20, 4,063.04 and 2,558.04 is: 3,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.20 : 4,063.04 = 2,558.04 : x
  2. Step 2: Convert to fraction form
    2,705.20/4,063.04 = 2,558.04/x
  3. Step 3: Cross multiply
    2,705.20x = 4,063.04 × 2,558.04
  4. Step 4: Simplify right side
    2,705.20x = 10,393,418.84
  5. Step 5: Solve for x
    x = 10,393,418.84/2,705.20
  6. Step 6: Final answer
    x = 3,842.01

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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.