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Finding the Fourth Proportional to 2,525.00, 3,783.98 and 1,289.80

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Solution

The fourth proportional to 2,525.00, 3,783.98 and 1,289.80 is: 1,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.00 : 3,783.98 = 1,289.80 : x
  2. Step 2: Convert to fraction form
    2,525.00/3,783.98 = 1,289.80/x
  3. Step 3: Cross multiply
    2,525.00x = 3,783.98 × 1,289.80
  4. Step 4: Simplify right side
    2,525.00x = 4,880,577.44
  5. Step 5: Solve for x
    x = 4,880,577.44/2,525.00
  6. Step 6: Final answer
    x = 1,932.90

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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.