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Finding the Fourth Proportional to 1,879.83, 2,820.12 and 581.25

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Solution

The fourth proportional to 1,879.83, 2,820.12 and 581.25 is: 871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.83 : 2,820.12 = 581.25 : x
  2. Step 2: Convert to fraction form
    1,879.83/2,820.12 = 581.25/x
  3. Step 3: Cross multiply
    1,879.83x = 2,820.12 × 581.25
  4. Step 4: Simplify right side
    1,879.83x = 1,639,194.75
  5. Step 5: Solve for x
    x = 1,639,194.75/1,879.83
  6. Step 6: Final answer
    x = 871.99

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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.