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Finding the Fourth Proportional to 2,322.50, 3,205.72 and 1,328.32

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Solution

The fourth proportional to 2,322.50, 3,205.72 and 1,328.32 is: 1,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.50 : 3,205.72 = 1,328.32 : x
  2. Step 2: Convert to fraction form
    2,322.50/3,205.72 = 1,328.32/x
  3. Step 3: Cross multiply
    2,322.50x = 3,205.72 × 1,328.32
  4. Step 4: Simplify right side
    2,322.50x = 4,258,221.99
  5. Step 5: Solve for x
    x = 4,258,221.99/2,322.50
  6. Step 6: Final answer
    x = 1,833.46

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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.