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Finding the Fourth Proportional to 2,069.35, 3,104 and 608.45

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Solution

The fourth proportional to 2,069.35, 3,104 and 608.45 is: 912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.35 : 3,104 = 608.45 : x
  2. Step 2: Convert to fraction form
    2,069.35/3,104 = 608.45/x
  3. Step 3: Cross multiply
    2,069.35x = 3,104 × 608.45
  4. Step 4: Simplify right side
    2,069.35x = 1,888,628.80
  5. Step 5: Solve for x
    x = 1,888,628.80/2,069.35
  6. Step 6: Final answer
    x = 912.67

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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.