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Finding the Fourth Proportional to 1,293.09, 1,780.81 and 1,289.04

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Solution

The fourth proportional to 1,293.09, 1,780.81 and 1,289.04 is: 1,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.09 : 1,780.81 = 1,289.04 : x
  2. Step 2: Convert to fraction form
    1,293.09/1,780.81 = 1,289.04/x
  3. Step 3: Cross multiply
    1,293.09x = 1,780.81 × 1,289.04
  4. Step 4: Simplify right side
    1,293.09x = 2,295,535.32
  5. Step 5: Solve for x
    x = 2,295,535.32/1,293.09
  6. Step 6: Final answer
    x = 1,775.23

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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.