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Finding the Fourth Proportional to 2,523.42, 3,784.83 and 879.83

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Solution

The fourth proportional to 2,523.42, 3,784.83 and 879.83 is: 1,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.42 : 3,784.83 = 879.83 : x
  2. Step 2: Convert to fraction form
    2,523.42/3,784.83 = 879.83/x
  3. Step 3: Cross multiply
    2,523.42x = 3,784.83 × 879.83
  4. Step 4: Simplify right side
    2,523.42x = 3,330,006.98
  5. Step 5: Solve for x
    x = 3,330,006.98/2,523.42
  6. Step 6: Final answer
    x = 1,319.64

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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.