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Finding the Fourth Proportional to 2,692.74, 3,716.19 and 1,513.92

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Solution

The fourth proportional to 2,692.74, 3,716.19 and 1,513.92 is: 2,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.74 : 3,716.19 = 1,513.92 : x
  2. Step 2: Convert to fraction form
    2,692.74/3,716.19 = 1,513.92/x
  3. Step 3: Cross multiply
    2,692.74x = 3,716.19 × 1,513.92
  4. Step 4: Simplify right side
    2,692.74x = 5,626,014.36
  5. Step 5: Solve for x
    x = 5,626,014.36/2,692.74
  6. Step 6: Final answer
    x = 2,089.33

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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.