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Finding the Fourth Proportional to 2,384.01, 3,576.02 and 998.01

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Solution

The fourth proportional to 2,384.01, 3,576.02 and 998.01 is: 1,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.01 : 3,576.02 = 998.01 : x
  2. Step 2: Convert to fraction form
    2,384.01/3,576.02 = 998.01/x
  3. Step 3: Cross multiply
    2,384.01x = 3,576.02 × 998.01
  4. Step 4: Simplify right side
    2,384.01x = 3,568,898.73
  5. Step 5: Solve for x
    x = 3,568,898.73/2,384.01
  6. Step 6: Final answer
    x = 1,497.02

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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.