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Finding the Fourth Proportional to 2,942.46, 4,060.46 and 1,616.22

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Solution

The fourth proportional to 2,942.46, 4,060.46 and 1,616.22 is: 2,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.46 : 4,060.46 = 1,616.22 : x
  2. Step 2: Convert to fraction form
    2,942.46/4,060.46 = 1,616.22/x
  3. Step 3: Cross multiply
    2,942.46x = 4,060.46 × 1,616.22
  4. Step 4: Simplify right side
    2,942.46x = 6,562,596.66
  5. Step 5: Solve for x
    x = 6,562,596.66/2,942.46
  6. Step 6: Final answer
    x = 2,230.31

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1.5x scale

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.