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Finding the Fourth Proportional to 1,879.96, 2,820 and 563.72

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Solution

The fourth proportional to 1,879.96, 2,820 and 563.72 is: 845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.96 : 2,820 = 563.72 : x
  2. Step 2: Convert to fraction form
    1,879.96/2,820 = 563.72/x
  3. Step 3: Cross multiply
    1,879.96x = 2,820 × 563.72
  4. Step 4: Simplify right side
    1,879.96x = 1,589,697.45
  5. Step 5: Solve for x
    x = 1,589,697.45/1,879.96
  6. Step 6: Final answer
    x = 845.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.