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Finding the Fourth Proportional to 2,994.97, 4,133.59 and 1,934.05

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Solution

The fourth proportional to 2,994.97, 4,133.59 and 1,934.05 is: 2,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.97 : 4,133.59 = 1,934.05 : x
  2. Step 2: Convert to fraction form
    2,994.97/4,133.59 = 1,934.05/x
  3. Step 3: Cross multiply
    2,994.97x = 4,133.59 × 1,934.05
  4. Step 4: Simplify right side
    2,994.97x = 7,994,549.07
  5. Step 5: Solve for x
    x = 7,994,549.07/2,994.97
  6. Step 6: Final answer
    x = 2,669.33

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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.