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Finding the Fourth Proportional to 2,395.75, 3,576.77 and 2,049.22

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Solution

The fourth proportional to 2,395.75, 3,576.77 and 2,049.22 is: 3,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.75 : 3,576.77 = 2,049.22 : x
  2. Step 2: Convert to fraction form
    2,395.75/3,576.77 = 2,049.22/x
  3. Step 3: Cross multiply
    2,395.75x = 3,576.77 × 2,049.22
  4. Step 4: Simplify right side
    2,395.75x = 7,329,588.62
  5. Step 5: Solve for x
    x = 7,329,588.62/2,395.75
  6. Step 6: Final answer
    x = 3,059.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.