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Finding the Fourth Proportional to 1,690.86, 2,537.01 and 1,446.78

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Solution

The fourth proportional to 1,690.86, 2,537.01 and 1,446.78 is: 2,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.86 : 2,537.01 = 1,446.78 : x
  2. Step 2: Convert to fraction form
    1,690.86/2,537.01 = 1,446.78/x
  3. Step 3: Cross multiply
    1,690.86x = 2,537.01 × 1,446.78
  4. Step 4: Simplify right side
    1,690.86x = 3,670,495.33
  5. Step 5: Solve for x
    x = 3,670,495.33/1,690.86
  6. Step 6: Final answer
    x = 2,170.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.