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Finding the Fourth Proportional to 2,705.30, 4,057.49 and 757.05

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Solution

The fourth proportional to 2,705.30, 4,057.49 and 757.05 is: 1,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.30 : 4,057.49 = 757.05 : x
  2. Step 2: Convert to fraction form
    2,705.30/4,057.49 = 757.05/x
  3. Step 3: Cross multiply
    2,705.30x = 4,057.49 × 757.05
  4. Step 4: Simplify right side
    2,705.30x = 3,071,722.80
  5. Step 5: Solve for x
    x = 3,071,722.80/2,705.30
  6. Step 6: Final answer
    x = 1,135.45

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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.