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Finding the Fourth Proportional to 2,408.40, 3,611.94 and 847.94

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Solution

The fourth proportional to 2,408.40, 3,611.94 and 847.94 is: 1,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.40 : 3,611.94 = 847.94 : x
  2. Step 2: Convert to fraction form
    2,408.40/3,611.94 = 847.94/x
  3. Step 3: Cross multiply
    2,408.40x = 3,611.94 × 847.94
  4. Step 4: Simplify right side
    2,408.40x = 3,062,690.34
  5. Step 5: Solve for x
    x = 3,062,690.34/2,408.40
  6. Step 6: Final answer
    x = 1,271.67

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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.