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Finding the Fourth Proportional to 3,197.76, 4,408.88 and 2,148

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Solution

The fourth proportional to 3,197.76, 4,408.88 and 2,148 is: 2,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.76 : 4,408.88 = 2,148 : x
  2. Step 2: Convert to fraction form
    3,197.76/4,408.88 = 2,148/x
  3. Step 3: Cross multiply
    3,197.76x = 4,408.88 × 2,148
  4. Step 4: Simplify right side
    3,197.76x = 9,470,263.50
  5. Step 5: Solve for x
    x = 9,470,263.50/3,197.76
  6. Step 6: Final answer
    x = 2,961.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.