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Finding the Fourth Proportional to 2,670.94, 4,006.41 and 2,213.98

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Solution

The fourth proportional to 2,670.94, 4,006.41 and 2,213.98 is: 3,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.94 : 4,006.41 = 2,213.98 : x
  2. Step 2: Convert to fraction form
    2,670.94/4,006.41 = 2,213.98/x
  3. Step 3: Cross multiply
    2,670.94x = 4,006.41 × 2,213.98
  4. Step 4: Simplify right side
    2,670.94x = 8,870,111.61
  5. Step 5: Solve for x
    x = 8,870,111.61/2,670.94
  6. Step 6: Final answer
    x = 3,320.97

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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.