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Finding the Fourth Proportional to 2,113.94, 2,912.06 and 1,616.39

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Solution

The fourth proportional to 2,113.94, 2,912.06 and 1,616.39 is: 2,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.94 : 2,912.06 = 1,616.39 : x
  2. Step 2: Convert to fraction form
    2,113.94/2,912.06 = 1,616.39/x
  3. Step 3: Cross multiply
    2,113.94x = 2,912.06 × 1,616.39
  4. Step 4: Simplify right side
    2,113.94x = 4,707,024.66
  5. Step 5: Solve for x
    x = 4,707,024.66/2,113.94
  6. Step 6: Final answer
    x = 2,226.66

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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.