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Finding the Fourth Proportional to 2,692.98, 3,716.30 and 1,514.04

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Solution

The fourth proportional to 2,692.98, 3,716.30 and 1,514.04 is: 2,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.98 : 3,716.30 = 1,514.04 : x
  2. Step 2: Convert to fraction form
    2,692.98/3,716.30 = 1,514.04/x
  3. Step 3: Cross multiply
    2,692.98x = 3,716.30 × 1,514.04
  4. Step 4: Simplify right side
    2,692.98x = 5,626,619.28
  5. Step 5: Solve for x
    x = 5,626,619.28/2,692.98
  6. Step 6: Final answer
    x = 2,089.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.