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Finding the Fourth Proportional to 2,506.96, 3,760.20 and 775.56

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Solution

The fourth proportional to 2,506.96, 3,760.20 and 775.56 is: 1,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.96 : 3,760.20 = 775.56 : x
  2. Step 2: Convert to fraction form
    2,506.96/3,760.20 = 775.56/x
  3. Step 3: Cross multiply
    2,506.96x = 3,760.20 × 775.56
  4. Step 4: Simplify right side
    2,506.96x = 2,916,260.71
  5. Step 5: Solve for x
    x = 2,916,260.71/2,506.96
  6. Step 6: Final answer
    x = 1,163.27

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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.