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Finding the Fourth Proportional to 4,616.50, 6,922.70 and 1,328.84

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Solution

The fourth proportional to 4,616.50, 6,922.70 and 1,328.84 is: 1,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.50 : 6,922.70 = 1,328.84 : x
  2. Step 2: Convert to fraction form
    4,616.50/6,922.70 = 1,328.84/x
  3. Step 3: Cross multiply
    4,616.50x = 6,922.70 × 1,328.84
  4. Step 4: Simplify right side
    4,616.50x = 9,199,160.67
  5. Step 5: Solve for x
    x = 9,199,160.67/4,616.50
  6. Step 6: Final answer
    x = 1,992.67

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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.