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Finding the Fourth Proportional to 3,303.88, 4,954.38 and 994.84

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Solution

The fourth proportional to 3,303.88, 4,954.38 and 994.84 is: 1,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.88 : 4,954.38 = 994.84 : x
  2. Step 2: Convert to fraction form
    3,303.88/4,954.38 = 994.84/x
  3. Step 3: Cross multiply
    3,303.88x = 4,954.38 × 994.84
  4. Step 4: Simplify right side
    3,303.88x = 4,928,815.40
  5. Step 5: Solve for x
    x = 4,928,815.40/3,303.88
  6. Step 6: Final answer
    x = 1,491.83

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1.5x scale

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.