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Finding the Fourth Proportional to 2,964.89, 4,446.87 and 990.21

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Solution

The fourth proportional to 2,964.89, 4,446.87 and 990.21 is: 1,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.89 : 4,446.87 = 990.21 : x
  2. Step 2: Convert to fraction form
    2,964.89/4,446.87 = 990.21/x
  3. Step 3: Cross multiply
    2,964.89x = 4,446.87 × 990.21
  4. Step 4: Simplify right side
    2,964.89x = 4,403,335.14
  5. Step 5: Solve for x
    x = 4,403,335.14/2,964.89
  6. Step 6: Final answer
    x = 1,485.16

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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.