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Finding the Fourth Proportional to 2,267.82, 3,126.99 and 1,952.70

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Solution

The fourth proportional to 2,267.82, 3,126.99 and 1,952.70 is: 2,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.82 : 3,126.99 = 1,952.70 : x
  2. Step 2: Convert to fraction form
    2,267.82/3,126.99 = 1,952.70/x
  3. Step 3: Cross multiply
    2,267.82x = 3,126.99 × 1,952.70
  4. Step 4: Simplify right side
    2,267.82x = 6,106,073.37
  5. Step 5: Solve for x
    x = 6,106,073.37/2,267.82
  6. Step 6: Final answer
    x = 2,692.49

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