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Finding the Fourth Proportional to 2,945.72, 4,418.10 and 971.33

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Solution

The fourth proportional to 2,945.72, 4,418.10 and 971.33 is: 1,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.72 : 4,418.10 = 971.33 : x
  2. Step 2: Convert to fraction form
    2,945.72/4,418.10 = 971.33/x
  3. Step 3: Cross multiply
    2,945.72x = 4,418.10 × 971.33
  4. Step 4: Simplify right side
    2,945.72x = 4,291,433.07
  5. Step 5: Solve for x
    x = 4,291,433.07/2,945.72
  6. Step 6: Final answer
    x = 1,456.84

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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.