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Finding the Fourth Proportional to 2,777.24, 4,161.24 and 1,953.78

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Solution

The fourth proportional to 2,777.24, 4,161.24 and 1,953.78 is: 2,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.24 : 4,161.24 = 1,953.78 : x
  2. Step 2: Convert to fraction form
    2,777.24/4,161.24 = 1,953.78/x
  3. Step 3: Cross multiply
    2,777.24x = 4,161.24 × 1,953.78
  4. Step 4: Simplify right side
    2,777.24x = 8,130,137.72
  5. Step 5: Solve for x
    x = 8,130,137.72/2,777.24
  6. Step 6: Final answer
    x = 2,927.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.