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Finding the Fourth Proportional to 2,777.63, 4,166.44 and 829.78

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Solution

The fourth proportional to 2,777.63, 4,166.44 and 829.78 is: 1,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.63 : 4,166.44 = 829.78 : x
  2. Step 2: Convert to fraction form
    2,777.63/4,166.44 = 829.78/x
  3. Step 3: Cross multiply
    2,777.63x = 4,166.44 × 829.78
  4. Step 4: Simplify right side
    2,777.63x = 3,457,216.09
  5. Step 5: Solve for x
    x = 3,457,216.09/2,777.63
  6. Step 6: Final answer
    x = 1,244.67

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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.