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Finding the Fourth Proportional to 1,538.38, 2,308.26 and 807.79

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Solution

The fourth proportional to 1,538.38, 2,308.26 and 807.79 is: 1,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.38 : 2,308.26 = 807.79 : x
  2. Step 2: Convert to fraction form
    1,538.38/2,308.26 = 807.79/x
  3. Step 3: Cross multiply
    1,538.38x = 2,308.26 × 807.79
  4. Step 4: Simplify right side
    1,538.38x = 1,864,589.35
  5. Step 5: Solve for x
    x = 1,864,589.35/1,538.38
  6. Step 6: Final answer
    x = 1,212.05

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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.