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Finding the Fourth Proportional to 2,638.99, 3,958.21 and 690.94

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Solution

The fourth proportional to 2,638.99, 3,958.21 and 690.94 is: 1,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.99 : 3,958.21 = 690.94 : x
  2. Step 2: Convert to fraction form
    2,638.99/3,958.21 = 690.94/x
  3. Step 3: Cross multiply
    2,638.99x = 3,958.21 × 690.94
  4. Step 4: Simplify right side
    2,638.99x = 2,734,885.62
  5. Step 5: Solve for x
    x = 2,734,885.62/2,638.99
  6. Step 6: Final answer
    x = 1,036.34

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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.