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Finding the Fourth Proportional to 2,433.24, 3,648.94 and 872.82

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Solution

The fourth proportional to 2,433.24, 3,648.94 and 872.82 is: 1,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.24 : 3,648.94 = 872.82 : x
  2. Step 2: Convert to fraction form
    2,433.24/3,648.94 = 872.82/x
  3. Step 3: Cross multiply
    2,433.24x = 3,648.94 × 872.82
  4. Step 4: Simplify right side
    2,433.24x = 3,184,867.81
  5. Step 5: Solve for x
    x = 3,184,867.81/2,433.24
  6. Step 6: Final answer
    x = 1,308.90

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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.