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Finding the Fourth Proportional to 3,211.94, 4,817.91 and 903.44

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Solution

The fourth proportional to 3,211.94, 4,817.91 and 903.44 is: 1,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.94 : 4,817.91 = 903.44 : x
  2. Step 2: Convert to fraction form
    3,211.94/4,817.91 = 903.44/x
  3. Step 3: Cross multiply
    3,211.94x = 4,817.91 × 903.44
  4. Step 4: Simplify right side
    3,211.94x = 4,352,692.61
  5. Step 5: Solve for x
    x = 4,352,692.61/3,211.94
  6. Step 6: Final answer
    x = 1,355.16

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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.