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Finding the Fourth Proportional to 2,449.35, 3,674.57 and 805.83

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Solution

The fourth proportional to 2,449.35, 3,674.57 and 805.83 is: 1,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.35 : 3,674.57 = 805.83 : x
  2. Step 2: Convert to fraction form
    2,449.35/3,674.57 = 805.83/x
  3. Step 3: Cross multiply
    2,449.35x = 3,674.57 × 805.83
  4. Step 4: Simplify right side
    2,449.35x = 2,961,074.71
  5. Step 5: Solve for x
    x = 2,961,074.71/2,449.35
  6. Step 6: Final answer
    x = 1,208.92

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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.