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Finding the Fourth Proportional to 1,828.00, 2,522.87 and 1,199.05

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Solution

The fourth proportional to 1,828.00, 2,522.87 and 1,199.05 is: 1,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.00 : 2,522.87 = 1,199.05 : x
  2. Step 2: Convert to fraction form
    1,828.00/2,522.87 = 1,199.05/x
  3. Step 3: Cross multiply
    1,828.00x = 2,522.87 × 1,199.05
  4. Step 4: Simplify right side
    1,828.00x = 3,025,041.28
  5. Step 5: Solve for x
    x = 3,025,041.28/1,828.00
  6. Step 6: Final answer
    x = 1,654.84

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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.