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Finding the Fourth Proportional to 2,274.90, 3,138.39 and 1,487.94

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Solution

The fourth proportional to 2,274.90, 3,138.39 and 1,487.94 is: 2,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.90 : 3,138.39 = 1,487.94 : x
  2. Step 2: Convert to fraction form
    2,274.90/3,138.39 = 1,487.94/x
  3. Step 3: Cross multiply
    2,274.90x = 3,138.39 × 1,487.94
  4. Step 4: Simplify right side
    2,274.90x = 4,669,736.02
  5. Step 5: Solve for x
    x = 4,669,736.02/2,274.90
  6. Step 6: Final answer
    x = 2,052.72

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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.