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Finding the Fourth Proportional to 2,441.51, 3,661.95 and 980.67

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Solution

The fourth proportional to 2,441.51, 3,661.95 and 980.67 is: 1,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.51 : 3,661.95 = 980.67 : x
  2. Step 2: Convert to fraction form
    2,441.51/3,661.95 = 980.67/x
  3. Step 3: Cross multiply
    2,441.51x = 3,661.95 × 980.67
  4. Step 4: Simplify right side
    2,441.51x = 3,591,164.51
  5. Step 5: Solve for x
    x = 3,591,164.51/2,441.51
  6. Step 6: Final answer
    x = 1,470.88

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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.