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Finding the Fourth Proportional to 2,441.16, 3,661.98 and 901.80

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Solution

The fourth proportional to 2,441.16, 3,661.98 and 901.80 is: 1,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.16 : 3,661.98 = 901.80 : x
  2. Step 2: Convert to fraction form
    2,441.16/3,661.98 = 901.80/x
  3. Step 3: Cross multiply
    2,441.16x = 3,661.98 × 901.80
  4. Step 4: Simplify right side
    2,441.16x = 3,302,373.56
  5. Step 5: Solve for x
    x = 3,302,373.56/2,441.16
  6. Step 6: Final answer
    x = 1,352.79

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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.