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Finding the Fourth Proportional to 1,852.65, 2,556.25 and 1,255.23

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Solution

The fourth proportional to 1,852.65, 2,556.25 and 1,255.23 is: 1,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.65 : 2,556.25 = 1,255.23 : x
  2. Step 2: Convert to fraction form
    1,852.65/2,556.25 = 1,255.23/x
  3. Step 3: Cross multiply
    1,852.65x = 2,556.25 × 1,255.23
  4. Step 4: Simplify right side
    1,852.65x = 3,208,671.39
  5. Step 5: Solve for x
    x = 3,208,671.39/1,852.65
  6. Step 6: Final answer
    x = 1,731.94

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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.