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Finding the Fourth Proportional to 2,861.52, 4,295.05 and 1,381.78

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Solution

The fourth proportional to 2,861.52, 4,295.05 and 1,381.78 is: 2,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.52 : 4,295.05 = 1,381.78 : x
  2. Step 2: Convert to fraction form
    2,861.52/4,295.05 = 1,381.78/x
  3. Step 3: Cross multiply
    2,861.52x = 4,295.05 × 1,381.78
  4. Step 4: Simplify right side
    2,861.52x = 5,934,814.19
  5. Step 5: Solve for x
    x = 5,934,814.19/2,861.52
  6. Step 6: Final answer
    x = 2,074.01

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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.