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Finding the Fourth Proportional to 2,441.79, 3,662.91 and 882.18

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Solution

The fourth proportional to 2,441.79, 3,662.91 and 882.18 is: 1,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.79 : 3,662.91 = 882.18 : x
  2. Step 2: Convert to fraction form
    2,441.79/3,662.91 = 882.18/x
  3. Step 3: Cross multiply
    2,441.79x = 3,662.91 × 882.18
  4. Step 4: Simplify right side
    2,441.79x = 3,231,341.53
  5. Step 5: Solve for x
    x = 3,231,341.53/2,441.79
  6. Step 6: Final answer
    x = 1,323.35

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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.