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Finding the Fourth Proportional to 2,277.29, 3,416.10 and 775.71

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Solution

The fourth proportional to 2,277.29, 3,416.10 and 775.71 is: 1,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.29 : 3,416.10 = 775.71 : x
  2. Step 2: Convert to fraction form
    2,277.29/3,416.10 = 775.71/x
  3. Step 3: Cross multiply
    2,277.29x = 3,416.10 × 775.71
  4. Step 4: Simplify right side
    2,277.29x = 2,649,902.93
  5. Step 5: Solve for x
    x = 2,649,902.93/2,277.29
  6. Step 6: Final answer
    x = 1,163.62

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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.