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Finding the Fourth Proportional to 2,274.72, 3,127.21 and 2,260.68

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Solution

The fourth proportional to 2,274.72, 3,127.21 and 2,260.68 is: 3,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.72 : 3,127.21 = 2,260.68 : x
  2. Step 2: Convert to fraction form
    2,274.72/3,127.21 = 2,260.68/x
  3. Step 3: Cross multiply
    2,274.72x = 3,127.21 × 2,260.68
  4. Step 4: Simplify right side
    2,274.72x = 7,069,621.10
  5. Step 5: Solve for x
    x = 7,069,621.10/2,274.72
  6. Step 6: Final answer
    x = 3,107.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.