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Finding the Fourth Proportional to 2,747.94, 4,117.11 and 2,288.67

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Solution

The fourth proportional to 2,747.94, 4,117.11 and 2,288.67 is: 3,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.94 : 4,117.11 = 2,288.67 : x
  2. Step 2: Convert to fraction form
    2,747.94/4,117.11 = 2,288.67/x
  3. Step 3: Cross multiply
    2,747.94x = 4,117.11 × 2,288.67
  4. Step 4: Simplify right side
    2,747.94x = 9,422,706.14
  5. Step 5: Solve for x
    x = 9,422,706.14/2,747.94
  6. Step 6: Final answer
    x = 3,429.01

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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.