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Finding the Fourth Proportional to 3,428.34, 5,142.75 and 1,696.50

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Solution

The fourth proportional to 3,428.34, 5,142.75 and 1,696.50 is: 2,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.34 : 5,142.75 = 1,696.50 : x
  2. Step 2: Convert to fraction form
    3,428.34/5,142.75 = 1,696.50/x
  3. Step 3: Cross multiply
    3,428.34x = 5,142.75 × 1,696.50
  4. Step 4: Simplify right side
    3,428.34x = 8,724,675.38
  5. Step 5: Solve for x
    x = 8,724,675.38/3,428.34
  6. Step 6: Final answer
    x = 2,544.87

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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.