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Finding the Fourth Proportional to 2,832.40, 4,247.48 and 884.08

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Solution

The fourth proportional to 2,832.40, 4,247.48 and 884.08 is: 1,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.40 : 4,247.48 = 884.08 : x
  2. Step 2: Convert to fraction form
    2,832.40/4,247.48 = 884.08/x
  3. Step 3: Cross multiply
    2,832.40x = 4,247.48 × 884.08
  4. Step 4: Simplify right side
    2,832.40x = 3,755,112.12
  5. Step 5: Solve for x
    x = 3,755,112.12/2,832.40
  6. Step 6: Final answer
    x = 1,325.77

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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.