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Finding the Fourth Proportional to 1,852.27, 2,556.97 and 1,255.50

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Solution

The fourth proportional to 1,852.27, 2,556.97 and 1,255.50 is: 1,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.27 : 2,556.97 = 1,255.50 : x
  2. Step 2: Convert to fraction form
    1,852.27/2,556.97 = 1,255.50/x
  3. Step 3: Cross multiply
    1,852.27x = 2,556.97 × 1,255.50
  4. Step 4: Simplify right side
    1,852.27x = 3,210,272.70
  5. Step 5: Solve for x
    x = 3,210,272.70/1,852.27
  6. Step 6: Final answer
    x = 1,733.16

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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.