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Finding the Fourth Proportional to 2,189.54, 3,285.27 and 957.26

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Solution

The fourth proportional to 2,189.54, 3,285.27 and 957.26 is: 1,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.54 : 3,285.27 = 957.26 : x
  2. Step 2: Convert to fraction form
    2,189.54/3,285.27 = 957.26/x
  3. Step 3: Cross multiply
    2,189.54x = 3,285.27 × 957.26
  4. Step 4: Simplify right side
    2,189.54x = 3,144,857.56
  5. Step 5: Solve for x
    x = 3,144,857.56/2,189.54
  6. Step 6: Final answer
    x = 1,436.31

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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.