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Finding the Fourth Proportional to 1,426.44, 2,139.78 and 452.34

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Solution

The fourth proportional to 1,426.44, 2,139.78 and 452.34 is: 678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.44 : 2,139.78 = 452.34 : x
  2. Step 2: Convert to fraction form
    1,426.44/2,139.78 = 452.34/x
  3. Step 3: Cross multiply
    1,426.44x = 2,139.78 × 452.34
  4. Step 4: Simplify right side
    1,426.44x = 967,908.09
  5. Step 5: Solve for x
    x = 967,908.09/1,426.44
  6. Step 6: Final answer
    x = 678.55

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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.