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Finding the Fourth Proportional to 2,295.63, 3,144.23 and 2,160.99

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Solution

The fourth proportional to 2,295.63, 3,144.23 and 2,160.99 is: 2,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.63 : 3,144.23 = 2,160.99 : x
  2. Step 2: Convert to fraction form
    2,295.63/3,144.23 = 2,160.99/x
  3. Step 3: Cross multiply
    2,295.63x = 3,144.23 × 2,160.99
  4. Step 4: Simplify right side
    2,295.63x = 6,794,623.06
  5. Step 5: Solve for x
    x = 6,794,623.06/2,295.63
  6. Step 6: Final answer
    x = 2,959.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.