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Finding the Fourth Proportional to 2,889.46, 4,333.74 and 941.65

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Solution

The fourth proportional to 2,889.46, 4,333.74 and 941.65 is: 1,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.46 : 4,333.74 = 941.65 : x
  2. Step 2: Convert to fraction form
    2,889.46/4,333.74 = 941.65/x
  3. Step 3: Cross multiply
    2,889.46x = 4,333.74 × 941.65
  4. Step 4: Simplify right side
    2,889.46x = 4,080,866.27
  5. Step 5: Solve for x
    x = 4,080,866.27/2,889.46
  6. Step 6: Final answer
    x = 1,412.33

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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.