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Finding the Fourth Proportional to 1,426.52, 2,141.74 and 733.76

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Solution

The fourth proportional to 1,426.52, 2,141.74 and 733.76 is: 1,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.52 : 2,141.74 = 733.76 : x
  2. Step 2: Convert to fraction form
    1,426.52/2,141.74 = 733.76/x
  3. Step 3: Cross multiply
    1,426.52x = 2,141.74 × 733.76
  4. Step 4: Simplify right side
    1,426.52x = 1,571,523.14
  5. Step 5: Solve for x
    x = 1,571,523.14/1,426.52
  6. Step 6: Final answer
    x = 1,101.65

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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.