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Finding the Fourth Proportional to 2,706.45, 4,063.19 and 2,595.41

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Solution

The fourth proportional to 2,706.45, 4,063.19 and 2,595.41 is: 3,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.45 : 4,063.19 = 2,595.41 : x
  2. Step 2: Convert to fraction form
    2,706.45/4,063.19 = 2,595.41/x
  3. Step 3: Cross multiply
    2,706.45x = 4,063.19 × 2,595.41
  4. Step 4: Simplify right side
    2,706.45x = 10,545,610.66
  5. Step 5: Solve for x
    x = 10,545,610.66/2,706.45
  6. Step 6: Final answer
    x = 3,896.47

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Why These Related Problems?

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