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Finding the Fourth Proportional to 2,323.35, 3,205.99 and 1,328.42

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Solution

The fourth proportional to 2,323.35, 3,205.99 and 1,328.42 is: 1,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.35 : 3,205.99 = 1,328.42 : x
  2. Step 2: Convert to fraction form
    2,323.35/3,205.99 = 1,328.42/x
  3. Step 3: Cross multiply
    2,323.35x = 3,205.99 × 1,328.42
  4. Step 4: Simplify right side
    2,323.35x = 4,258,901.24
  5. Step 5: Solve for x
    x = 4,258,901.24/2,323.35
  6. Step 6: Final answer
    x = 1,833.09

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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.