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Finding the Fourth Proportional to 2,446.24, 3,669.42 and 886.40

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Solution

The fourth proportional to 2,446.24, 3,669.42 and 886.40 is: 1,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.24 : 3,669.42 = 886.40 : x
  2. Step 2: Convert to fraction form
    2,446.24/3,669.42 = 886.40/x
  3. Step 3: Cross multiply
    2,446.24x = 3,669.42 × 886.40
  4. Step 4: Simplify right side
    2,446.24x = 3,252,573.89
  5. Step 5: Solve for x
    x = 3,252,573.89/2,446.24
  6. Step 6: Final answer
    x = 1,329.62

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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.