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Finding the Fourth Proportional to 2,682.90, 4,024.62 and 927.67

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Solution

The fourth proportional to 2,682.90, 4,024.62 and 927.67 is: 1,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.90 : 4,024.62 = 927.67 : x
  2. Step 2: Convert to fraction form
    2,682.90/4,024.62 = 927.67/x
  3. Step 3: Cross multiply
    2,682.90x = 4,024.62 × 927.67
  4. Step 4: Simplify right side
    2,682.90x = 3,733,519.24
  5. Step 5: Solve for x
    x = 3,733,519.24/2,682.90
  6. Step 6: Final answer
    x = 1,391.60

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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.