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Finding the Fourth Proportional to 2,812.26, 4,218.40 and 965.46

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Solution

The fourth proportional to 2,812.26, 4,218.40 and 965.46 is: 1,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.26 : 4,218.40 = 965.46 : x
  2. Step 2: Convert to fraction form
    2,812.26/4,218.40 = 965.46/x
  3. Step 3: Cross multiply
    2,812.26x = 4,218.40 × 965.46
  4. Step 4: Simplify right side
    2,812.26x = 4,072,696.46
  5. Step 5: Solve for x
    x = 4,072,696.46/2,812.26
  6. Step 6: Final answer
    x = 1,448.19

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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.