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Finding the Fourth Proportional to 2,288.13, 3,431.54 and 827.01

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Solution

The fourth proportional to 2,288.13, 3,431.54 and 827.01 is: 1,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.13 : 3,431.54 = 827.01 : x
  2. Step 2: Convert to fraction form
    2,288.13/3,431.54 = 827.01/x
  3. Step 3: Cross multiply
    2,288.13x = 3,431.54 × 827.01
  4. Step 4: Simplify right side
    2,288.13x = 2,837,913.76
  5. Step 5: Solve for x
    x = 2,837,913.76/2,288.13
  6. Step 6: Final answer
    x = 1,240.28

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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.