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Finding the Fourth Proportional to 2,241.12, 3,359.74 and 990.76

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Solution

The fourth proportional to 2,241.12, 3,359.74 and 990.76 is: 1,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.12 : 3,359.74 = 990.76 : x
  2. Step 2: Convert to fraction form
    2,241.12/3,359.74 = 990.76/x
  3. Step 3: Cross multiply
    2,241.12x = 3,359.74 × 990.76
  4. Step 4: Simplify right side
    2,241.12x = 3,328,696.00
  5. Step 5: Solve for x
    x = 3,328,696.00/2,241.12
  6. Step 6: Final answer
    x = 1,485.28

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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.