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Finding the Fourth Proportional to 2,705.52, 4,058.49 and 757.74

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Solution

The fourth proportional to 2,705.52, 4,058.49 and 757.74 is: 1,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.52 : 4,058.49 = 757.74 : x
  2. Step 2: Convert to fraction form
    2,705.52/4,058.49 = 757.74/x
  3. Step 3: Cross multiply
    2,705.52x = 4,058.49 × 757.74
  4. Step 4: Simplify right side
    2,705.52x = 3,075,280.21
  5. Step 5: Solve for x
    x = 3,075,280.21/2,705.52
  6. Step 6: Final answer
    x = 1,136.67

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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.