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Finding the Fourth Proportional to 1,852.92, 2,554.07 and 1,255.23

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Solution

The fourth proportional to 1,852.92, 2,554.07 and 1,255.23 is: 1,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.92 : 2,554.07 = 1,255.23 : x
  2. Step 2: Convert to fraction form
    1,852.92/2,554.07 = 1,255.23/x
  3. Step 3: Cross multiply
    1,852.92x = 2,554.07 × 1,255.23
  4. Step 4: Simplify right side
    1,852.92x = 3,205,939.01
  5. Step 5: Solve for x
    x = 3,205,939.01/1,852.92
  6. Step 6: Final answer
    x = 1,730.21

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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.