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Finding the Fourth Proportional to 2,105.01, 3,155.68 and 805.57

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Solution

The fourth proportional to 2,105.01, 3,155.68 and 805.57 is: 1,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.01 : 3,155.68 = 805.57 : x
  2. Step 2: Convert to fraction form
    2,105.01/3,155.68 = 805.57/x
  3. Step 3: Cross multiply
    2,105.01x = 3,155.68 × 805.57
  4. Step 4: Simplify right side
    2,105.01x = 2,542,125.40
  5. Step 5: Solve for x
    x = 2,542,125.40/2,105.01
  6. Step 6: Final answer
    x = 1,207.65

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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.