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Finding the Fourth Proportional to 1,426.10, 1,967.01 and 836.75

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Solution

The fourth proportional to 1,426.10, 1,967.01 and 836.75 is: 1,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.10 : 1,967.01 = 836.75 : x
  2. Step 2: Convert to fraction form
    1,426.10/1,967.01 = 836.75/x
  3. Step 3: Cross multiply
    1,426.10x = 1,967.01 × 836.75
  4. Step 4: Simplify right side
    1,426.10x = 1,645,895.62
  5. Step 5: Solve for x
    x = 1,645,895.62/1,426.10
  6. Step 6: Final answer
    x = 1,154.12

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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.