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Finding the Fourth Proportional to 1,852.96, 2,555.61 and 1,189.88

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Solution

The fourth proportional to 1,852.96, 2,555.61 and 1,189.88 is: 1,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.96 : 2,555.61 = 1,189.88 : x
  2. Step 2: Convert to fraction form
    1,852.96/2,555.61 = 1,189.88/x
  3. Step 3: Cross multiply
    1,852.96x = 2,555.61 × 1,189.88
  4. Step 4: Simplify right side
    1,852.96x = 3,040,869.23
  5. Step 5: Solve for x
    x = 3,040,869.23/1,852.96
  6. Step 6: Final answer
    x = 1,641.09

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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.