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Finding the Fourth Proportional to 2,954.78, 4,432.40 and 980.33

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Solution

The fourth proportional to 2,954.78, 4,432.40 and 980.33 is: 1,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.78 : 4,432.40 = 980.33 : x
  2. Step 2: Convert to fraction form
    2,954.78/4,432.40 = 980.33/x
  3. Step 3: Cross multiply
    2,954.78x = 4,432.40 × 980.33
  4. Step 4: Simplify right side
    2,954.78x = 4,345,201.01
  5. Step 5: Solve for x
    x = 4,345,201.01/2,954.78
  6. Step 6: Final answer
    x = 1,470.57

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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.