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Finding the Fourth Proportional to 2,914.26, 4,371.93 and 966.60

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Solution

The fourth proportional to 2,914.26, 4,371.93 and 966.60 is: 1,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.26 : 4,371.93 = 966.60 : x
  2. Step 2: Convert to fraction form
    2,914.26/4,371.93 = 966.60/x
  3. Step 3: Cross multiply
    2,914.26x = 4,371.93 × 966.60
  4. Step 4: Simplify right side
    2,914.26x = 4,225,907.54
  5. Step 5: Solve for x
    x = 4,225,907.54/2,914.26
  6. Step 6: Final answer
    x = 1,450.08

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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.