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Finding the Fourth Proportional to 2,405.92, 3,609.42 and 1,864.84

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Solution

The fourth proportional to 2,405.92, 3,609.42 and 1,864.84 is: 2,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.92 : 3,609.42 = 1,864.84 : x
  2. Step 2: Convert to fraction form
    2,405.92/3,609.42 = 1,864.84/x
  3. Step 3: Cross multiply
    2,405.92x = 3,609.42 × 1,864.84
  4. Step 4: Simplify right side
    2,405.92x = 6,730,990.79
  5. Step 5: Solve for x
    x = 6,730,990.79/2,405.92
  6. Step 6: Final answer
    x = 2,797.68

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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.