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Finding the Fourth Proportional to 1,426.54, 1,967.22 and 836.86

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Solution

The fourth proportional to 1,426.54, 1,967.22 and 836.86 is: 1,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.54 : 1,967.22 = 836.86 : x
  2. Step 2: Convert to fraction form
    1,426.54/1,967.22 = 836.86/x
  3. Step 3: Cross multiply
    1,426.54x = 1,967.22 × 836.86
  4. Step 4: Simplify right side
    1,426.54x = 1,646,287.73
  5. Step 5: Solve for x
    x = 1,646,287.73/1,426.54
  6. Step 6: Final answer
    x = 1,154.04

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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.