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Finding the Fourth Proportional to 1,592, 2,375.62 and 1,446.56

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Solution

The fourth proportional to 1,592, 2,375.62 and 1,446.56 is: 2,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592 : 2,375.62 = 1,446.56 : x
  2. Step 2: Convert to fraction form
    1,592/2,375.62 = 1,446.56/x
  3. Step 3: Cross multiply
    1,592x = 2,375.62 × 1,446.56
  4. Step 4: Simplify right side
    1,592x = 3,436,476.87
  5. Step 5: Solve for x
    x = 3,436,476.87/1,592
  6. Step 6: Final answer
    x = 2,158.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.