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Finding the Fourth Proportional to 2,945.50, 4,418.28 and 971.26

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Solution

The fourth proportional to 2,945.50, 4,418.28 and 971.26 is: 1,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.50 : 4,418.28 = 971.26 : x
  2. Step 2: Convert to fraction form
    2,945.50/4,418.28 = 971.26/x
  3. Step 3: Cross multiply
    2,945.50x = 4,418.28 × 971.26
  4. Step 4: Simplify right side
    2,945.50x = 4,291,287.59
  5. Step 5: Solve for x
    x = 4,291,287.59/2,945.50
  6. Step 6: Final answer
    x = 1,456.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.