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Finding the Fourth Proportional to 1,811.67, 2,717.51 and 945.78

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Solution

The fourth proportional to 1,811.67, 2,717.51 and 945.78 is: 1,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.67 : 2,717.51 = 945.78 : x
  2. Step 2: Convert to fraction form
    1,811.67/2,717.51 = 945.78/x
  3. Step 3: Cross multiply
    1,811.67x = 2,717.51 × 945.78
  4. Step 4: Simplify right side
    1,811.67x = 2,570,161.88
  5. Step 5: Solve for x
    x = 2,570,161.88/1,811.67
  6. Step 6: Final answer
    x = 1,418.67

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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.