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Finding the Fourth Proportional to 1,945.08, 2,917.62 and 646.38

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Solution

The fourth proportional to 1,945.08, 2,917.62 and 646.38 is: 969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.08 : 2,917.62 = 646.38 : x
  2. Step 2: Convert to fraction form
    1,945.08/2,917.62 = 646.38/x
  3. Step 3: Cross multiply
    1,945.08x = 2,917.62 × 646.38
  4. Step 4: Simplify right side
    1,945.08x = 1,885,891.22
  5. Step 5: Solve for x
    x = 1,885,891.22/1,945.08
  6. Step 6: Final answer
    x = 969.57

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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.