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Finding the Fourth Proportional to 2,274.94, 3,395.80 and 1,952.38

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Solution

The fourth proportional to 2,274.94, 3,395.80 and 1,952.38 is: 2,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.94 : 3,395.80 = 1,952.38 : x
  2. Step 2: Convert to fraction form
    2,274.94/3,395.80 = 1,952.38/x
  3. Step 3: Cross multiply
    2,274.94x = 3,395.80 × 1,952.38
  4. Step 4: Simplify right side
    2,274.94x = 6,629,892.00
  5. Step 5: Solve for x
    x = 6,629,892.00/2,274.94
  6. Step 6: Final answer
    x = 2,914.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.