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Finding the Fourth Proportional to 1,425.40, 2,134.24 and 739.96

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Solution

The fourth proportional to 1,425.40, 2,134.24 and 739.96 is: 1,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.40 : 2,134.24 = 739.96 : x
  2. Step 2: Convert to fraction form
    1,425.40/2,134.24 = 739.96/x
  3. Step 3: Cross multiply
    1,425.40x = 2,134.24 × 739.96
  4. Step 4: Simplify right side
    1,425.40x = 1,579,252.23
  5. Step 5: Solve for x
    x = 1,579,252.23/1,425.40
  6. Step 6: Final answer
    x = 1,107.94

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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.