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Finding the Fourth Proportional to 2,289.87, 3,159.91 and 1,295.29

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Solution

The fourth proportional to 2,289.87, 3,159.91 and 1,295.29 is: 1,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.87 : 3,159.91 = 1,295.29 : x
  2. Step 2: Convert to fraction form
    2,289.87/3,159.91 = 1,295.29/x
  3. Step 3: Cross multiply
    2,289.87x = 3,159.91 × 1,295.29
  4. Step 4: Simplify right side
    2,289.87x = 4,093,005.39
  5. Step 5: Solve for x
    x = 4,093,005.39/2,289.87
  6. Step 6: Final answer
    x = 1,787.44

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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.