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Finding the Fourth Proportional to 2,185.26, 3,277.62 and 646.26

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Solution

The fourth proportional to 2,185.26, 3,277.62 and 646.26 is: 969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.26 : 3,277.62 = 646.26 : x
  2. Step 2: Convert to fraction form
    2,185.26/3,277.62 = 646.26/x
  3. Step 3: Cross multiply
    2,185.26x = 3,277.62 × 646.26
  4. Step 4: Simplify right side
    2,185.26x = 2,118,194.70
  5. Step 5: Solve for x
    x = 2,118,194.70/2,185.26
  6. Step 6: Final answer
    x = 969.31

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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.