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Finding the Fourth Proportional to 2,456.94, 3,364.76 and 2,424.54

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Solution

The fourth proportional to 2,456.94, 3,364.76 and 2,424.54 is: 3,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.94 : 3,364.76 = 2,424.54 : x
  2. Step 2: Convert to fraction form
    2,456.94/3,364.76 = 2,424.54/x
  3. Step 3: Cross multiply
    2,456.94x = 3,364.76 × 2,424.54
  4. Step 4: Simplify right side
    2,456.94x = 8,157,983.09
  5. Step 5: Solve for x
    x = 8,157,983.09/2,456.94
  6. Step 6: Final answer
    x = 3,320.38

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Why These Related Problems?

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