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Finding the Fourth Proportional to 1,852.72, 2,556.98 and 1,189.33

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Solution

The fourth proportional to 1,852.72, 2,556.98 and 1,189.33 is: 1,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.72 : 2,556.98 = 1,189.33 : x
  2. Step 2: Convert to fraction form
    1,852.72/2,556.98 = 1,189.33/x
  3. Step 3: Cross multiply
    1,852.72x = 2,556.98 × 1,189.33
  4. Step 4: Simplify right side
    1,852.72x = 3,041,093.02
  5. Step 5: Solve for x
    x = 3,041,093.02/1,852.72
  6. Step 6: Final answer
    x = 1,641.42

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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.