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Finding the Fourth Proportional to 2,678.73, 3,692.84 and 1,969.32

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Solution

The fourth proportional to 2,678.73, 3,692.84 and 1,969.32 is: 2,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.73 : 3,692.84 = 1,969.32 : x
  2. Step 2: Convert to fraction form
    2,678.73/3,692.84 = 1,969.32/x
  3. Step 3: Cross multiply
    2,678.73x = 3,692.84 × 1,969.32
  4. Step 4: Simplify right side
    2,678.73x = 7,272,384.90
  5. Step 5: Solve for x
    x = 7,272,384.90/2,678.73
  6. Step 6: Final answer
    x = 2,714.86

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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.