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Finding the Fourth Proportional to 2,849, 3,932 and 1,607.24

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Solution

The fourth proportional to 2,849, 3,932 and 1,607.24 is: 2,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849 : 3,932 = 1,607.24 : x
  2. Step 2: Convert to fraction form
    2,849/3,932 = 1,607.24/x
  3. Step 3: Cross multiply
    2,849x = 3,932 × 1,607.24
  4. Step 4: Simplify right side
    2,849x = 6,319,667.68
  5. Step 5: Solve for x
    x = 6,319,667.68/2,849
  6. Step 6: Final answer
    x = 2,218.21

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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.