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Finding the Fourth Proportional to 2,651.48, 3,957.76 and 2,456

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Solution

The fourth proportional to 2,651.48, 3,957.76 and 2,456 is: 3,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.48 : 3,957.76 = 2,456 : x
  2. Step 2: Convert to fraction form
    2,651.48/3,957.76 = 2,456/x
  3. Step 3: Cross multiply
    2,651.48x = 3,957.76 × 2,456
  4. Step 4: Simplify right side
    2,651.48x = 9,720,258.56
  5. Step 5: Solve for x
    x = 9,720,258.56/2,651.48
  6. Step 6: Final answer
    x = 3,665.97

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Why These Related Problems?

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