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Finding the Fourth Proportional to 2,323.92, 3,206.60 and 1,704.40

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Solution

The fourth proportional to 2,323.92, 3,206.60 and 1,704.40 is: 2,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.92 : 3,206.60 = 1,704.40 : x
  2. Step 2: Convert to fraction form
    2,323.92/3,206.60 = 1,704.40/x
  3. Step 3: Cross multiply
    2,323.92x = 3,206.60 × 1,704.40
  4. Step 4: Simplify right side
    2,323.92x = 5,465,329.04
  5. Step 5: Solve for x
    x = 5,465,329.04/2,323.92
  6. Step 6: Final answer
    x = 2,351.77

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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.