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Finding the Fourth Proportional to 2,073.11, 3,109.55 and 774.47

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Solution

The fourth proportional to 2,073.11, 3,109.55 and 774.47 is: 1,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.11 : 3,109.55 = 774.47 : x
  2. Step 2: Convert to fraction form
    2,073.11/3,109.55 = 774.47/x
  3. Step 3: Cross multiply
    2,073.11x = 3,109.55 × 774.47
  4. Step 4: Simplify right side
    2,073.11x = 2,408,262.90
  5. Step 5: Solve for x
    x = 2,408,262.90/2,073.11
  6. Step 6: Final answer
    x = 1,161.67

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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.