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Finding the Fourth Proportional to 2,738.16, 4,107.12 and 763.80

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Solution

The fourth proportional to 2,738.16, 4,107.12 and 763.80 is: 1,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.16 : 4,107.12 = 763.80 : x
  2. Step 2: Convert to fraction form
    2,738.16/4,107.12 = 763.80/x
  3. Step 3: Cross multiply
    2,738.16x = 4,107.12 × 763.80
  4. Step 4: Simplify right side
    2,738.16x = 3,137,018.26
  5. Step 5: Solve for x
    x = 3,137,018.26/2,738.16
  6. Step 6: Final answer
    x = 1,145.67

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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.