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Finding the Fourth Proportional to 2,699.74, 3,732.33 and 2,675.14

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Solution

The fourth proportional to 2,699.74, 3,732.33 and 2,675.14 is: 3,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.74 : 3,732.33 = 2,675.14 : x
  2. Step 2: Convert to fraction form
    2,699.74/3,732.33 = 2,675.14/x
  3. Step 3: Cross multiply
    2,699.74x = 3,732.33 × 2,675.14
  4. Step 4: Simplify right side
    2,699.74x = 9,984,505.28
  5. Step 5: Solve for x
    x = 9,984,505.28/2,699.74
  6. Step 6: Final answer
    x = 3,698.32

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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.