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Finding the Fourth Proportional to 2,846.03, 4,269.24 and 996.93

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Solution

The fourth proportional to 2,846.03, 4,269.24 and 996.93 is: 1,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.03 : 4,269.24 = 996.93 : x
  2. Step 2: Convert to fraction form
    2,846.03/4,269.24 = 996.93/x
  3. Step 3: Cross multiply
    2,846.03x = 4,269.24 × 996.93
  4. Step 4: Simplify right side
    2,846.03x = 4,256,133.43
  5. Step 5: Solve for x
    x = 4,256,133.43/2,846.03
  6. Step 6: Final answer
    x = 1,495.47

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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.