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Finding the Fourth Proportional to 1,426.12, 1,967.72 and 836.36

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Solution

The fourth proportional to 1,426.12, 1,967.72 and 836.36 is: 1,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.12 : 1,967.72 = 836.36 : x
  2. Step 2: Convert to fraction form
    1,426.12/1,967.72 = 836.36/x
  3. Step 3: Cross multiply
    1,426.12x = 1,967.72 × 836.36
  4. Step 4: Simplify right side
    1,426.12x = 1,645,722.30
  5. Step 5: Solve for x
    x = 1,645,722.30/1,426.12
  6. Step 6: Final answer
    x = 1,153.99

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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.