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Finding the Fourth Proportional to 2,047.46, 2,811.22 and 1,994

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Solution

The fourth proportional to 2,047.46, 2,811.22 and 1,994 is: 2,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.46 : 2,811.22 = 1,994 : x
  2. Step 2: Convert to fraction form
    2,047.46/2,811.22 = 1,994/x
  3. Step 3: Cross multiply
    2,047.46x = 2,811.22 × 1,994
  4. Step 4: Simplify right side
    2,047.46x = 5,605,572.68
  5. Step 5: Solve for x
    x = 5,605,572.68/2,047.46
  6. Step 6: Final answer
    x = 2,737.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.