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Finding the Fourth Proportional to 1,426.89, 2,139.75 and 452.73

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Solution

The fourth proportional to 1,426.89, 2,139.75 and 452.73 is: 678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.89 : 2,139.75 = 452.73 : x
  2. Step 2: Convert to fraction form
    1,426.89/2,139.75 = 452.73/x
  3. Step 3: Cross multiply
    1,426.89x = 2,139.75 × 452.73
  4. Step 4: Simplify right side
    1,426.89x = 968,729.02
  5. Step 5: Solve for x
    x = 968,729.02/1,426.89
  6. Step 6: Final answer
    x = 678.91

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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.