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Finding the Fourth Proportional to 2,777.34, 4,165.97 and 829.56

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Solution

The fourth proportional to 2,777.34, 4,165.97 and 829.56 is: 1,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.34 : 4,165.97 = 829.56 : x
  2. Step 2: Convert to fraction form
    2,777.34/4,165.97 = 829.56/x
  3. Step 3: Cross multiply
    2,777.34x = 4,165.97 × 829.56
  4. Step 4: Simplify right side
    2,777.34x = 3,455,901.24
  5. Step 5: Solve for x
    x = 3,455,901.24/2,777.34
  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.