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Finding the Fourth Proportional to 2,776.86, 4,163.75 and 926.99

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Solution

The fourth proportional to 2,776.86, 4,163.75 and 926.99 is: 1,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.86 : 4,163.75 = 926.99 : x
  2. Step 2: Convert to fraction form
    2,776.86/4,163.75 = 926.99/x
  3. Step 3: Cross multiply
    2,776.86x = 4,163.75 × 926.99
  4. Step 4: Simplify right side
    2,776.86x = 3,859,729.16
  5. Step 5: Solve for x
    x = 3,859,729.16/2,776.86
  6. Step 6: Final answer
    x = 1,389.96

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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.