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Finding the Fourth Proportional to 2,692.84, 4,039.30 and 961.48

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Solution

The fourth proportional to 2,692.84, 4,039.30 and 961.48 is: 1,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.84 : 4,039.30 = 961.48 : x
  2. Step 2: Convert to fraction form
    2,692.84/4,039.30 = 961.48/x
  3. Step 3: Cross multiply
    2,692.84x = 4,039.30 × 961.48
  4. Step 4: Simplify right side
    2,692.84x = 3,883,706.16
  5. Step 5: Solve for x
    x = 3,883,706.16/2,692.84
  6. Step 6: Final answer
    x = 1,442.23

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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.