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Finding the Fourth Proportional to 2,105.02, 3,155.67 and 805.63

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Solution

The fourth proportional to 2,105.02, 3,155.67 and 805.63 is: 1,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.02 : 3,155.67 = 805.63 : x
  2. Step 2: Convert to fraction form
    2,105.02/3,155.67 = 805.63/x
  3. Step 3: Cross multiply
    2,105.02x = 3,155.67 × 805.63
  4. Step 4: Simplify right side
    2,105.02x = 2,542,302.42
  5. Step 5: Solve for x
    x = 2,542,302.42/2,105.02
  6. Step 6: Final answer
    x = 1,207.73

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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.