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Finding the Fourth Proportional to 2,624.42, 3,939.06 and 1,326.80

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Solution

The fourth proportional to 2,624.42, 3,939.06 and 1,326.80 is: 1,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.42 : 3,939.06 = 1,326.80 : x
  2. Step 2: Convert to fraction form
    2,624.42/3,939.06 = 1,326.80/x
  3. Step 3: Cross multiply
    2,624.42x = 3,939.06 × 1,326.80
  4. Step 4: Simplify right side
    2,624.42x = 5,226,325.11
  5. Step 5: Solve for x
    x = 5,226,325.11/2,624.42
  6. Step 6: Final answer
    x = 1,991.42

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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.