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Finding the Fourth Proportional to 1,556.12, 2,334.86 and 825.52

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Solution

The fourth proportional to 1,556.12, 2,334.86 and 825.52 is: 1,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.12 : 2,334.86 = 825.52 : x
  2. Step 2: Convert to fraction form
    1,556.12/2,334.86 = 825.52/x
  3. Step 3: Cross multiply
    1,556.12x = 2,334.86 × 825.52
  4. Step 4: Simplify right side
    1,556.12x = 1,927,469.85
  5. Step 5: Solve for x
    x = 1,927,469.85/1,556.12
  6. Step 6: Final answer
    x = 1,238.64

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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.