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Finding the Fourth Proportional to 1,740.26, 2,611.41 and 645.38

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Solution

The fourth proportional to 1,740.26, 2,611.41 and 645.38 is: 968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.26 : 2,611.41 = 645.38 : x
  2. Step 2: Convert to fraction form
    1,740.26/2,611.41 = 645.38/x
  3. Step 3: Cross multiply
    1,740.26x = 2,611.41 × 645.38
  4. Step 4: Simplify right side
    1,740.26x = 1,685,348.56
  5. Step 5: Solve for x
    x = 1,685,348.56/1,740.26
  6. Step 6: Final answer
    x = 968.45

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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.