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Finding the Fourth Proportional to 2,300.00, 3,450.52 and 839.15

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Solution

The fourth proportional to 2,300.00, 3,450.52 and 839.15 is: 1,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.00 : 3,450.52 = 839.15 : x
  2. Step 2: Convert to fraction form
    2,300.00/3,450.52 = 839.15/x
  3. Step 3: Cross multiply
    2,300.00x = 3,450.52 × 839.15
  4. Step 4: Simplify right side
    2,300.00x = 2,895,515.28
  5. Step 5: Solve for x
    x = 2,895,515.28/2,300.00
  6. Step 6: Final answer
    x = 1,258.92

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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.