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Finding the Fourth Proportional to 2,441.45, 3,662.33 and 980.40

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Solution

The fourth proportional to 2,441.45, 3,662.33 and 980.40 is: 1,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.45 : 3,662.33 = 980.40 : x
  2. Step 2: Convert to fraction form
    2,441.45/3,662.33 = 980.40/x
  3. Step 3: Cross multiply
    2,441.45x = 3,662.33 × 980.40
  4. Step 4: Simplify right side
    2,441.45x = 3,590,543.43
  5. Step 5: Solve for x
    x = 3,590,543.43/2,441.45
  6. Step 6: Final answer
    x = 1,470.66

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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.