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Finding the Fourth Proportional to 1,725.73, 2,375.66 and 1,559.42

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Solution

The fourth proportional to 1,725.73, 2,375.66 and 1,559.42 is: 2,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.73 : 2,375.66 = 1,559.42 : x
  2. Step 2: Convert to fraction form
    1,725.73/2,375.66 = 1,559.42/x
  3. Step 3: Cross multiply
    1,725.73x = 2,375.66 × 1,559.42
  4. Step 4: Simplify right side
    1,725.73x = 3,704,643.74
  5. Step 5: Solve for x
    x = 3,704,643.74/1,725.73
  6. Step 6: Final answer
    x = 2,146.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.