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Finding the Fourth Proportional to 1,425.82, 1,967.55 and 836.31

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Solution

The fourth proportional to 1,425.82, 1,967.55 and 836.31 is: 1,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.82 : 1,967.55 = 836.31 : x
  2. Step 2: Convert to fraction form
    1,425.82/1,967.55 = 836.31/x
  3. Step 3: Cross multiply
    1,425.82x = 1,967.55 × 836.31
  4. Step 4: Simplify right side
    1,425.82x = 1,645,481.74
  5. Step 5: Solve for x
    x = 1,645,481.74/1,425.82
  6. Step 6: Final answer
    x = 1,154.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.