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Finding the Fourth Proportional to 2,364.26, 3,546.72 and 804.71

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Solution

The fourth proportional to 2,364.26, 3,546.72 and 804.71 is: 1,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.26 : 3,546.72 = 804.71 : x
  2. Step 2: Convert to fraction form
    2,364.26/3,546.72 = 804.71/x
  3. Step 3: Cross multiply
    2,364.26x = 3,546.72 × 804.71
  4. Step 4: Simplify right side
    2,364.26x = 2,854,081.05
  5. Step 5: Solve for x
    x = 2,854,081.05/2,364.26
  6. Step 6: Final answer
    x = 1,207.18

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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.