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Finding the Fourth Proportional to 1,670.94, 2,306.55 and 1,626.78

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Solution

The fourth proportional to 1,670.94, 2,306.55 and 1,626.78 is: 2,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.94 : 2,306.55 = 1,626.78 : x
  2. Step 2: Convert to fraction form
    1,670.94/2,306.55 = 1,626.78/x
  3. Step 3: Cross multiply
    1,670.94x = 2,306.55 × 1,626.78
  4. Step 4: Simplify right side
    1,670.94x = 3,752,249.41
  5. Step 5: Solve for x
    x = 3,752,249.41/1,670.94
  6. Step 6: Final answer
    x = 2,245.59

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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.