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Finding the Fourth Proportional to 2,945.88, 4,419.32 and 971.97

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Solution

The fourth proportional to 2,945.88, 4,419.32 and 971.97 is: 1,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.88 : 4,419.32 = 971.97 : x
  2. Step 2: Convert to fraction form
    2,945.88/4,419.32 = 971.97/x
  3. Step 3: Cross multiply
    2,945.88x = 4,419.32 × 971.97
  4. Step 4: Simplify right side
    2,945.88x = 4,295,441.60
  5. Step 5: Solve for x
    x = 4,295,441.60/2,945.88
  6. Step 6: Final answer
    x = 1,458.12

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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.