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Finding the Fourth Proportional to 2,673.68, 4,012.97 and 1,442.30

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Solution

The fourth proportional to 2,673.68, 4,012.97 and 1,442.30 is: 2,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.68 : 4,012.97 = 1,442.30 : x
  2. Step 2: Convert to fraction form
    2,673.68/4,012.97 = 1,442.30/x
  3. Step 3: Cross multiply
    2,673.68x = 4,012.97 × 1,442.30
  4. Step 4: Simplify right side
    2,673.68x = 5,787,879.35
  5. Step 5: Solve for x
    x = 5,787,879.35/2,673.68
  6. Step 6: Final answer
    x = 2,164.77

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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.