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Finding the Fourth Proportional to 2,321.92, 3,207.68 and 1,827.84

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Solution

The fourth proportional to 2,321.92, 3,207.68 and 1,827.84 is: 2,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.92 : 3,207.68 = 1,827.84 : x
  2. Step 2: Convert to fraction form
    2,321.92/3,207.68 = 1,827.84/x
  3. Step 3: Cross multiply
    2,321.92x = 3,207.68 × 1,827.84
  4. Step 4: Simplify right side
    2,321.92x = 5,863,125.81
  5. Step 5: Solve for x
    x = 5,863,125.81/2,321.92
  6. Step 6: Final answer
    x = 2,525.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.