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Finding the Fourth Proportional to 2,705.57, 4,058.40 and 757.74

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Solution

The fourth proportional to 2,705.57, 4,058.40 and 757.74 is: 1,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.57 : 4,058.40 = 757.74 : x
  2. Step 2: Convert to fraction form
    2,705.57/4,058.40 = 757.74/x
  3. Step 3: Cross multiply
    2,705.57x = 4,058.40 × 757.74
  4. Step 4: Simplify right side
    2,705.57x = 3,075,212.02
  5. Step 5: Solve for x
    x = 3,075,212.02/2,705.57
  6. Step 6: Final answer
    x = 1,136.62

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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.