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Finding the Fourth Proportional to 1,679.74, 2,318.90 and 1,050.64

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Solution

The fourth proportional to 1,679.74, 2,318.90 and 1,050.64 is: 1,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.74 : 2,318.90 = 1,050.64 : x
  2. Step 2: Convert to fraction form
    1,679.74/2,318.90 = 1,050.64/x
  3. Step 3: Cross multiply
    1,679.74x = 2,318.90 × 1,050.64
  4. Step 4: Simplify right side
    1,679.74x = 2,436,318.05
  5. Step 5: Solve for x
    x = 2,436,318.05/1,679.74
  6. Step 6: Final answer
    x = 1,450.42

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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.