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Finding the Fourth Proportional to 1,692.66, 2,335.59 and 994.17

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Solution

The fourth proportional to 1,692.66, 2,335.59 and 994.17 is: 1,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.66 : 2,335.59 = 994.17 : x
  2. Step 2: Convert to fraction form
    1,692.66/2,335.59 = 994.17/x
  3. Step 3: Cross multiply
    1,692.66x = 2,335.59 × 994.17
  4. Step 4: Simplify right side
    1,692.66x = 2,321,973.51
  5. Step 5: Solve for x
    x = 2,321,973.51/1,692.66
  6. Step 6: Final answer
    x = 1,371.79

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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.