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Finding the Fourth Proportional to 2,705.70, 4,058.06 and 757.42

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Solution

The fourth proportional to 2,705.70, 4,058.06 and 757.42 is: 1,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.70 : 4,058.06 = 757.42 : x
  2. Step 2: Convert to fraction form
    2,705.70/4,058.06 = 757.42/x
  3. Step 3: Cross multiply
    2,705.70x = 4,058.06 × 757.42
  4. Step 4: Simplify right side
    2,705.70x = 3,073,655.81
  5. Step 5: Solve for x
    x = 3,073,655.81/2,705.70
  6. Step 6: Final answer
    x = 1,135.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.