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Finding the Fourth Proportional to 1,998.78, 2,993.91 and 957.24

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Solution

The fourth proportional to 1,998.78, 2,993.91 and 957.24 is: 1,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.78 : 2,993.91 = 957.24 : x
  2. Step 2: Convert to fraction form
    1,998.78/2,993.91 = 957.24/x
  3. Step 3: Cross multiply
    1,998.78x = 2,993.91 × 957.24
  4. Step 4: Simplify right side
    1,998.78x = 2,865,890.41
  5. Step 5: Solve for x
    x = 2,865,890.41/1,998.78
  6. Step 6: Final answer
    x = 1,433.82

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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.