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Finding the Fourth Proportional to 2,692.13, 3,713.86 and 1,796.28

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Solution

The fourth proportional to 2,692.13, 3,713.86 and 1,796.28 is: 2,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.13 : 3,713.86 = 1,796.28 : x
  2. Step 2: Convert to fraction form
    2,692.13/3,713.86 = 1,796.28/x
  3. Step 3: Cross multiply
    2,692.13x = 3,713.86 × 1,796.28
  4. Step 4: Simplify right side
    2,692.13x = 6,671,154.62
  5. Step 5: Solve for x
    x = 6,671,154.62/2,692.13
  6. Step 6: Final answer
    x = 2,478.02

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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.