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Finding the Fourth Proportional to 2,777.01, 4,165.53 and 829.22

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Solution

The fourth proportional to 2,777.01, 4,165.53 and 829.22 is: 1,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.01 : 4,165.53 = 829.22 : x
  2. Step 2: Convert to fraction form
    2,777.01/4,165.53 = 829.22/x
  3. Step 3: Cross multiply
    2,777.01x = 4,165.53 × 829.22
  4. Step 4: Simplify right side
    2,777.01x = 3,454,119.96
  5. Step 5: Solve for x
    x = 3,454,119.96/2,777.01
  6. Step 6: Final answer
    x = 1,243.83

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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.