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Finding the Fourth Proportional to 3,299.16, 4,949.22 and 990.84

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Solution

The fourth proportional to 3,299.16, 4,949.22 and 990.84 is: 1,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.16 : 4,949.22 = 990.84 : x
  2. Step 2: Convert to fraction form
    3,299.16/4,949.22 = 990.84/x
  3. Step 3: Cross multiply
    3,299.16x = 4,949.22 × 990.84
  4. Step 4: Simplify right side
    3,299.16x = 4,903,885.14
  5. Step 5: Solve for x
    x = 4,903,885.14/3,299.16
  6. Step 6: Final answer
    x = 1,486.40

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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.