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Finding the Fourth Proportional to 2,698.44, 4,045.74 and 1,382.58

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Solution

The fourth proportional to 2,698.44, 4,045.74 and 1,382.58 is: 2,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.44 : 4,045.74 = 1,382.58 : x
  2. Step 2: Convert to fraction form
    2,698.44/4,045.74 = 1,382.58/x
  3. Step 3: Cross multiply
    2,698.44x = 4,045.74 × 1,382.58
  4. Step 4: Simplify right side
    2,698.44x = 5,593,559.21
  5. Step 5: Solve for x
    x = 5,593,559.21/2,698.44
  6. Step 6: Final answer
    x = 2,072.89

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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.