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Finding the Fourth Proportional to 1,426.30, 2,139.31 and 967.03

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Solution

The fourth proportional to 1,426.30, 2,139.31 and 967.03 is: 1,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.30 : 2,139.31 = 967.03 : x
  2. Step 2: Convert to fraction form
    1,426.30/2,139.31 = 967.03/x
  3. Step 3: Cross multiply
    1,426.30x = 2,139.31 × 967.03
  4. Step 4: Simplify right side
    1,426.30x = 2,068,769.18
  5. Step 5: Solve for x
    x = 2,068,769.18/1,426.30
  6. Step 6: Final answer
    x = 1,450.45

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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.