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Finding the Fourth Proportional to 2,322.98, 3,205.26 and 1,328.57

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Solution

The fourth proportional to 2,322.98, 3,205.26 and 1,328.57 is: 1,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.98 : 3,205.26 = 1,328.57 : x
  2. Step 2: Convert to fraction form
    2,322.98/3,205.26 = 1,328.57/x
  3. Step 3: Cross multiply
    2,322.98x = 3,205.26 × 1,328.57
  4. Step 4: Simplify right side
    2,322.98x = 4,258,396.25
  5. Step 5: Solve for x
    x = 4,258,396.25/2,322.98
  6. Step 6: Final answer
    x = 1,833.16

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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.