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Finding the Fourth Proportional to 3,079.54, 4,619.88 and 1,692.12

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Solution

The fourth proportional to 3,079.54, 4,619.88 and 1,692.12 is: 2,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.54 : 4,619.88 = 1,692.12 : x
  2. Step 2: Convert to fraction form
    3,079.54/4,619.88 = 1,692.12/x
  3. Step 3: Cross multiply
    3,079.54x = 4,619.88 × 1,692.12
  4. Step 4: Simplify right side
    3,079.54x = 7,817,391.35
  5. Step 5: Solve for x
    x = 7,817,391.35/3,079.54
  6. Step 6: Final answer
    x = 2,538.49

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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.