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Finding the Fourth Proportional to 2,729.19, 3,767.70 and 1,846.19

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Solution

The fourth proportional to 2,729.19, 3,767.70 and 1,846.19 is: 2,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.19 : 3,767.70 = 1,846.19 : x
  2. Step 2: Convert to fraction form
    2,729.19/3,767.70 = 1,846.19/x
  3. Step 3: Cross multiply
    2,729.19x = 3,767.70 × 1,846.19
  4. Step 4: Simplify right side
    2,729.19x = 6,955,871.22
  5. Step 5: Solve for x
    x = 6,955,871.22/2,729.19
  6. Step 6: Final answer
    x = 2,548.69

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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.