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Finding the Fourth Proportional to 1,850.64, 2,775.96 and 825.36

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Solution

The fourth proportional to 1,850.64, 2,775.96 and 825.36 is: 1,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.64 : 2,775.96 = 825.36 : x
  2. Step 2: Convert to fraction form
    1,850.64/2,775.96 = 825.36/x
  3. Step 3: Cross multiply
    1,850.64x = 2,775.96 × 825.36
  4. Step 4: Simplify right side
    1,850.64x = 2,291,166.35
  5. Step 5: Solve for x
    x = 2,291,166.35/1,850.64
  6. Step 6: Final answer
    x = 1,238.04

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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.