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Finding the Fourth Proportional to 2,992.89, 4,489.56 and 913.07

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Solution

The fourth proportional to 2,992.89, 4,489.56 and 913.07 is: 1,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.89 : 4,489.56 = 913.07 : x
  2. Step 2: Convert to fraction form
    2,992.89/4,489.56 = 913.07/x
  3. Step 3: Cross multiply
    2,992.89x = 4,489.56 × 913.07
  4. Step 4: Simplify right side
    2,992.89x = 4,099,282.55
  5. Step 5: Solve for x
    x = 4,099,282.55/2,992.89
  6. Step 6: Final answer
    x = 1,369.67

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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.