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Finding the Fourth Proportional to 1,308.25, 1,962.23 and 1,235.96

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Solution

The fourth proportional to 1,308.25, 1,962.23 and 1,235.96 is: 1,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.25 : 1,962.23 = 1,235.96 : x
  2. Step 2: Convert to fraction form
    1,308.25/1,962.23 = 1,235.96/x
  3. Step 3: Cross multiply
    1,308.25x = 1,962.23 × 1,235.96
  4. Step 4: Simplify right side
    1,308.25x = 2,425,229.16
  5. Step 5: Solve for x
    x = 2,425,229.16/1,308.25
  6. Step 6: Final answer
    x = 1,853.79

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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.