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Finding the Fourth Proportional to 1,852.55, 2,555.79 and 1,189.30

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Solution

The fourth proportional to 1,852.55, 2,555.79 and 1,189.30 is: 1,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.55 : 2,555.79 = 1,189.30 : x
  2. Step 2: Convert to fraction form
    1,852.55/2,555.79 = 1,189.30/x
  3. Step 3: Cross multiply
    1,852.55x = 2,555.79 × 1,189.30
  4. Step 4: Simplify right side
    1,852.55x = 3,039,601.05
  5. Step 5: Solve for x
    x = 3,039,601.05/1,852.55
  6. Step 6: Final answer
    x = 1,640.77

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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.