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Finding the Fourth Proportional to 2,996.92, 4,495.79 and 2,814.67

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Solution

The fourth proportional to 2,996.92, 4,495.79 and 2,814.67 is: 4,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.92 : 4,495.79 = 2,814.67 : x
  2. Step 2: Convert to fraction form
    2,996.92/4,495.79 = 2,814.67/x
  3. Step 3: Cross multiply
    2,996.92x = 4,495.79 × 2,814.67
  4. Step 4: Simplify right side
    2,996.92x = 12,654,165.24
  5. Step 5: Solve for x
    x = 12,654,165.24/2,996.92
  6. Step 6: Final answer
    x = 4,222.39

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1.5x scale

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.