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Finding the Fourth Proportional to 2,160.08, 3,240.09 and 699.23

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Solution

The fourth proportional to 2,160.08, 3,240.09 and 699.23 is: 1,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.08 : 3,240.09 = 699.23 : x
  2. Step 2: Convert to fraction form
    2,160.08/3,240.09 = 699.23/x
  3. Step 3: Cross multiply
    2,160.08x = 3,240.09 × 699.23
  4. Step 4: Simplify right side
    2,160.08x = 2,265,576.23
  5. Step 5: Solve for x
    x = 2,265,576.23/2,160.08
  6. Step 6: Final answer
    x = 1,048.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.