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Finding the Fourth Proportional to 2,729.16, 3,771.50 and 2,064.83

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Solution

The fourth proportional to 2,729.16, 3,771.50 and 2,064.83 is: 2,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.16 : 3,771.50 = 2,064.83 : x
  2. Step 2: Convert to fraction form
    2,729.16/3,771.50 = 2,064.83/x
  3. Step 3: Cross multiply
    2,729.16x = 3,771.50 × 2,064.83
  4. Step 4: Simplify right side
    2,729.16x = 7,787,477.16
  5. Step 5: Solve for x
    x = 7,787,477.16/2,729.16
  6. Step 6: Final answer
    x = 2,853.43

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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.