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Finding the Fourth Proportional to 1,716.05, 2,574.46 and 546.09

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Solution

The fourth proportional to 1,716.05, 2,574.46 and 546.09 is: 819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.05 : 2,574.46 = 546.09 : x
  2. Step 2: Convert to fraction form
    1,716.05/2,574.46 = 546.09/x
  3. Step 3: Cross multiply
    1,716.05x = 2,574.46 × 546.09
  4. Step 4: Simplify right side
    1,716.05x = 1,405,886.86
  5. Step 5: Solve for x
    x = 1,405,886.86/1,716.05
  6. Step 6: Final answer
    x = 819.26

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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.