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Finding the Fourth Proportional to 2,735.58, 4,104.58 and 1,696.34

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Solution

The fourth proportional to 2,735.58, 4,104.58 and 1,696.34 is: 2,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.58 : 4,104.58 = 1,696.34 : x
  2. Step 2: Convert to fraction form
    2,735.58/4,104.58 = 1,696.34/x
  3. Step 3: Cross multiply
    2,735.58x = 4,104.58 × 1,696.34
  4. Step 4: Simplify right side
    2,735.58x = 6,962,763.24
  5. Step 5: Solve for x
    x = 6,962,763.24/2,735.58
  6. Step 6: Final answer
    x = 2,545.26

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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.