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Finding the Fourth Proportional to 2,441.34, 3,661.46 and 980.10

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Solution

The fourth proportional to 2,441.34, 3,661.46 and 980.10 is: 1,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.34 : 3,661.46 = 980.10 : x
  2. Step 2: Convert to fraction form
    2,441.34/3,661.46 = 980.10/x
  3. Step 3: Cross multiply
    2,441.34x = 3,661.46 × 980.10
  4. Step 4: Simplify right side
    2,441.34x = 3,588,596.95
  5. Step 5: Solve for x
    x = 3,588,596.95/2,441.34
  6. Step 6: Final answer
    x = 1,469.93

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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.