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Finding the Fourth Proportional to 2,073.46, 3,110.24 and 774.67

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Solution

The fourth proportional to 2,073.46, 3,110.24 and 774.67 is: 1,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.46 : 3,110.24 = 774.67 : x
  2. Step 2: Convert to fraction form
    2,073.46/3,110.24 = 774.67/x
  3. Step 3: Cross multiply
    2,073.46x = 3,110.24 × 774.67
  4. Step 4: Simplify right side
    2,073.46x = 2,409,409.62
  5. Step 5: Solve for x
    x = 2,409,409.62/2,073.46
  6. Step 6: Final answer
    x = 1,162.02

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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.