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Finding the Fourth Proportional to 2,839.64, 3,920 and 2,662.52

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Solution

The fourth proportional to 2,839.64, 3,920 and 2,662.52 is: 3,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.64 : 3,920 = 2,662.52 : x
  2. Step 2: Convert to fraction form
    2,839.64/3,920 = 2,662.52/x
  3. Step 3: Cross multiply
    2,839.64x = 3,920 × 2,662.52
  4. Step 4: Simplify right side
    2,839.64x = 10,437,078.40
  5. Step 5: Solve for x
    x = 10,437,078.40/2,839.64
  6. Step 6: Final answer
    x = 3,675.49

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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.