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Finding the Fourth Proportional to 2,074.09, 2,855.67 and 1,758.65

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Solution

The fourth proportional to 2,074.09, 2,855.67 and 1,758.65 is: 2,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.09 : 2,855.67 = 1,758.65 : x
  2. Step 2: Convert to fraction form
    2,074.09/2,855.67 = 1,758.65/x
  3. Step 3: Cross multiply
    2,074.09x = 2,855.67 × 1,758.65
  4. Step 4: Simplify right side
    2,074.09x = 5,022,124.05
  5. Step 5: Solve for x
    x = 5,022,124.05/2,074.09
  6. Step 6: Final answer
    x = 2,421.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.