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Finding the Fourth Proportional to 1,426.26, 2,139 and 452.34

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Solution

The fourth proportional to 1,426.26, 2,139 and 452.34 is: 678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.26 : 2,139 = 452.34 : x
  2. Step 2: Convert to fraction form
    1,426.26/2,139 = 452.34/x
  3. Step 3: Cross multiply
    1,426.26x = 2,139 × 452.34
  4. Step 4: Simplify right side
    1,426.26x = 967,555.26
  5. Step 5: Solve for x
    x = 967,555.26/1,426.26
  6. Step 6: Final answer
    x = 678.39

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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.