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Finding the Fourth Proportional to 1,852.79, 2,555.73 and 1,189.40

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Solution

The fourth proportional to 1,852.79, 2,555.73 and 1,189.40 is: 1,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.79 : 2,555.73 = 1,189.40 : x
  2. Step 2: Convert to fraction form
    1,852.79/2,555.73 = 1,189.40/x
  3. Step 3: Cross multiply
    1,852.79x = 2,555.73 × 1,189.40
  4. Step 4: Simplify right side
    1,852.79x = 3,039,772.48
  5. Step 5: Solve for x
    x = 3,039,772.48/1,852.79
  6. Step 6: Final answer
    x = 1,640.65

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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.