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Finding the Fourth Proportional to 2,776.55, 4,163.16 and 927.16

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Solution

The fourth proportional to 2,776.55, 4,163.16 and 927.16 is: 1,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.55 : 4,163.16 = 927.16 : x
  2. Step 2: Convert to fraction form
    2,776.55/4,163.16 = 927.16/x
  3. Step 3: Cross multiply
    2,776.55x = 4,163.16 × 927.16
  4. Step 4: Simplify right side
    2,776.55x = 3,859,908.49
  5. Step 5: Solve for x
    x = 3,859,908.49/2,776.55
  6. Step 6: Final answer
    x = 1,390.18

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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.