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Finding the Fourth Proportional to 2,274.71, 3,408.42 and 2,056.01

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Solution

The fourth proportional to 2,274.71, 3,408.42 and 2,056.01 is: 3,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.71 : 3,408.42 = 2,056.01 : x
  2. Step 2: Convert to fraction form
    2,274.71/3,408.42 = 2,056.01/x
  3. Step 3: Cross multiply
    2,274.71x = 3,408.42 × 2,056.01
  4. Step 4: Simplify right side
    2,274.71x = 7,007,745.60
  5. Step 5: Solve for x
    x = 7,007,745.60/2,274.71
  6. Step 6: Final answer
    x = 3,080.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.