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Finding the Fourth Proportional to 2,777.94, 4,166.19 and 829.69

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Solution

The fourth proportional to 2,777.94, 4,166.19 and 829.69 is: 1,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.94 : 4,166.19 = 829.69 : x
  2. Step 2: Convert to fraction form
    2,777.94/4,166.19 = 829.69/x
  3. Step 3: Cross multiply
    2,777.94x = 4,166.19 × 829.69
  4. Step 4: Simplify right side
    2,777.94x = 3,456,635.77
  5. Step 5: Solve for x
    x = 3,456,635.77/2,777.94
  6. Step 6: Final answer
    x = 1,244.32

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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.