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Finding the Fourth Proportional to 1,852.26, 2,777.17 and 1,203.45

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Solution

The fourth proportional to 1,852.26, 2,777.17 and 1,203.45 is: 1,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.26 : 2,777.17 = 1,203.45 : x
  2. Step 2: Convert to fraction form
    1,852.26/2,777.17 = 1,203.45/x
  3. Step 3: Cross multiply
    1,852.26x = 2,777.17 × 1,203.45
  4. Step 4: Simplify right side
    1,852.26x = 3,342,185.24
  5. Step 5: Solve for x
    x = 3,342,185.24/1,852.26
  6. Step 6: Final answer
    x = 1,804.38

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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.