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Finding the Fourth Proportional to 2,405.92, 3,606.88 and 1,020.34

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Solution

The fourth proportional to 2,405.92, 3,606.88 and 1,020.34 is: 1,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.92 : 3,606.88 = 1,020.34 : x
  2. Step 2: Convert to fraction form
    2,405.92/3,606.88 = 1,020.34/x
  3. Step 3: Cross multiply
    2,405.92x = 3,606.88 × 1,020.34
  4. Step 4: Simplify right side
    2,405.92x = 3,680,243.94
  5. Step 5: Solve for x
    x = 3,680,243.94/2,405.92
  6. Step 6: Final answer
    x = 1,529.66

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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.