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Finding the Fourth Proportional to 2,945.43, 4,418.37 and 970.29

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Solution

The fourth proportional to 2,945.43, 4,418.37 and 970.29 is: 1,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.43 : 4,418.37 = 970.29 : x
  2. Step 2: Convert to fraction form
    2,945.43/4,418.37 = 970.29/x
  3. Step 3: Cross multiply
    2,945.43x = 4,418.37 × 970.29
  4. Step 4: Simplify right side
    2,945.43x = 4,287,100.23
  5. Step 5: Solve for x
    x = 4,287,100.23/2,945.43
  6. Step 6: Final answer
    x = 1,455.51

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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.