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Finding the Fourth Proportional to 2,763.50, 3,811.91 and 1,643.67

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Solution

The fourth proportional to 2,763.50, 3,811.91 and 1,643.67 is: 2,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.50 : 3,811.91 = 1,643.67 : x
  2. Step 2: Convert to fraction form
    2,763.50/3,811.91 = 1,643.67/x
  3. Step 3: Cross multiply
    2,763.50x = 3,811.91 × 1,643.67
  4. Step 4: Simplify right side
    2,763.50x = 6,265,513.89
  5. Step 5: Solve for x
    x = 6,265,513.89/2,763.50
  6. Step 6: Final answer
    x = 2,267.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.