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Finding the Fourth Proportional to 2,289.81, 3,159.92 and 1,295.09

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Solution

The fourth proportional to 2,289.81, 3,159.92 and 1,295.09 is: 1,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.81 : 3,159.92 = 1,295.09 : x
  2. Step 2: Convert to fraction form
    2,289.81/3,159.92 = 1,295.09/x
  3. Step 3: Cross multiply
    2,289.81x = 3,159.92 × 1,295.09
  4. Step 4: Simplify right side
    2,289.81x = 4,092,380.79
  5. Step 5: Solve for x
    x = 4,092,380.79/2,289.81
  6. Step 6: Final answer
    x = 1,787.21

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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.