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Finding the Fourth Proportional to 2,035.62, 3,052.49 and 995.67

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Solution

The fourth proportional to 2,035.62, 3,052.49 and 995.67 is: 1,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.62 : 3,052.49 = 995.67 : x
  2. Step 2: Convert to fraction form
    2,035.62/3,052.49 = 995.67/x
  3. Step 3: Cross multiply
    2,035.62x = 3,052.49 × 995.67
  4. Step 4: Simplify right side
    2,035.62x = 3,039,267.74
  5. Step 5: Solve for x
    x = 3,039,267.74/2,035.62
  6. Step 6: Final answer
    x = 1,493.04

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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.