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Finding the Fourth Proportional to 2,837.24, 4,255.86 and 889.60

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Solution

The fourth proportional to 2,837.24, 4,255.86 and 889.60 is: 1,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.24 : 4,255.86 = 889.60 : x
  2. Step 2: Convert to fraction form
    2,837.24/4,255.86 = 889.60/x
  3. Step 3: Cross multiply
    2,837.24x = 4,255.86 × 889.60
  4. Step 4: Simplify right side
    2,837.24x = 3,786,013.06
  5. Step 5: Solve for x
    x = 3,786,013.06/2,837.24
  6. Step 6: Final answer
    x = 1,334.40

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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.