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Finding the Fourth Proportional to 2,274.94, 3,137.97 and 1,576.18

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Solution

The fourth proportional to 2,274.94, 3,137.97 and 1,576.18 is: 2,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.94 : 3,137.97 = 1,576.18 : x
  2. Step 2: Convert to fraction form
    2,274.94/3,137.97 = 1,576.18/x
  3. Step 3: Cross multiply
    2,274.94x = 3,137.97 × 1,576.18
  4. Step 4: Simplify right side
    2,274.94x = 4,946,005.55
  5. Step 5: Solve for x
    x = 4,946,005.55/2,274.94
  6. Step 6: Final answer
    x = 2,174.13

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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.