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Finding the Fourth Proportional to 1,716.68, 2,573.60 and 676.23

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Solution

The fourth proportional to 1,716.68, 2,573.60 and 676.23 is: 1,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.68 : 2,573.60 = 676.23 : x
  2. Step 2: Convert to fraction form
    1,716.68/2,573.60 = 676.23/x
  3. Step 3: Cross multiply
    1,716.68x = 2,573.60 × 676.23
  4. Step 4: Simplify right side
    1,716.68x = 1,740,342.15
  5. Step 5: Solve for x
    x = 1,740,342.15/1,716.68
  6. Step 6: Final answer
    x = 1,013.79

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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.