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Finding the Fourth Proportional to 2,994.59, 4,133.09 and 1,736.46

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Solution

The fourth proportional to 2,994.59, 4,133.09 and 1,736.46 is: 2,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.59 : 4,133.09 = 1,736.46 : x
  2. Step 2: Convert to fraction form
    2,994.59/4,133.09 = 1,736.46/x
  3. Step 3: Cross multiply
    2,994.59x = 4,133.09 × 1,736.46
  4. Step 4: Simplify right side
    2,994.59x = 7,176,949.80
  5. Step 5: Solve for x
    x = 7,176,949.80/2,994.59
  6. Step 6: Final answer
    x = 2,396.64

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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.