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Finding the Fourth Proportional to 2,185.44, 3,277.60 and 646.08

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Solution

The fourth proportional to 2,185.44, 3,277.60 and 646.08 is: 968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.44 : 3,277.60 = 646.08 : x
  2. Step 2: Convert to fraction form
    2,185.44/3,277.60 = 646.08/x
  3. Step 3: Cross multiply
    2,185.44x = 3,277.60 × 646.08
  4. Step 4: Simplify right side
    2,185.44x = 2,117,591.81
  5. Step 5: Solve for x
    x = 2,117,591.81/2,185.44
  6. Step 6: Final answer
    x = 968.95

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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.