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Finding the Fourth Proportional to 2,786.66, 4,180.08 and 937.76

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Solution

The fourth proportional to 2,786.66, 4,180.08 and 937.76 is: 1,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.66 : 4,180.08 = 937.76 : x
  2. Step 2: Convert to fraction form
    2,786.66/4,180.08 = 937.76/x
  3. Step 3: Cross multiply
    2,786.66x = 4,180.08 × 937.76
  4. Step 4: Simplify right side
    2,786.66x = 3,919,911.82
  5. Step 5: Solve for x
    x = 3,919,911.82/2,786.66
  6. Step 6: Final answer
    x = 1,406.67

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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.