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Finding the Fourth Proportional to 1,952.28, 2,692.98 and 1,689.84

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Solution

The fourth proportional to 1,952.28, 2,692.98 and 1,689.84 is: 2,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.28 : 2,692.98 = 1,689.84 : x
  2. Step 2: Convert to fraction form
    1,952.28/2,692.98 = 1,689.84/x
  3. Step 3: Cross multiply
    1,952.28x = 2,692.98 × 1,689.84
  4. Step 4: Simplify right side
    1,952.28x = 4,550,705.32
  5. Step 5: Solve for x
    x = 4,550,705.32/1,952.28
  6. Step 6: Final answer
    x = 2,330.97

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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.