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Finding the Fourth Proportional to 1,716.15, 2,574.15 and 1,194.62

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Solution

The fourth proportional to 1,716.15, 2,574.15 and 1,194.62 is: 1,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.15 : 2,574.15 = 1,194.62 : x
  2. Step 2: Convert to fraction form
    1,716.15/2,574.15 = 1,194.62/x
  3. Step 3: Cross multiply
    1,716.15x = 2,574.15 × 1,194.62
  4. Step 4: Simplify right side
    1,716.15x = 3,075,113.72
  5. Step 5: Solve for x
    x = 3,075,113.72/1,716.15
  6. Step 6: Final answer
    x = 1,791.86

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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.