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Finding the Fourth Proportional to 1,426.45, 1,967.59 and 922.96

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Solution

The fourth proportional to 1,426.45, 1,967.59 and 922.96 is: 1,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.45 : 1,967.59 = 922.96 : x
  2. Step 2: Convert to fraction form
    1,426.45/1,967.59 = 922.96/x
  3. Step 3: Cross multiply
    1,426.45x = 1,967.59 × 922.96
  4. Step 4: Simplify right side
    1,426.45x = 1,816,006.87
  5. Step 5: Solve for x
    x = 1,816,006.87/1,426.45
  6. Step 6: Final answer
    x = 1,273.10

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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.