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Finding the Fourth Proportional to 2,870.50, 3,961.38 and 1,692.58

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Solution

The fourth proportional to 2,870.50, 3,961.38 and 1,692.58 is: 2,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.50 : 3,961.38 = 1,692.58 : x
  2. Step 2: Convert to fraction form
    2,870.50/3,961.38 = 1,692.58/x
  3. Step 3: Cross multiply
    2,870.50x = 3,961.38 × 1,692.58
  4. Step 4: Simplify right side
    2,870.50x = 6,704,952.56
  5. Step 5: Solve for x
    x = 6,704,952.56/2,870.50
  6. Step 6: Final answer
    x = 2,335.81

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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.