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Finding the Fourth Proportional to 1,446.54, 1,994.81 and 1,423.46

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Solution

The fourth proportional to 1,446.54, 1,994.81 and 1,423.46 is: 1,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.54 : 1,994.81 = 1,423.46 : x
  2. Step 2: Convert to fraction form
    1,446.54/1,994.81 = 1,423.46/x
  3. Step 3: Cross multiply
    1,446.54x = 1,994.81 × 1,423.46
  4. Step 4: Simplify right side
    1,446.54x = 2,839,515.15
  5. Step 5: Solve for x
    x = 2,839,515.15/1,446.54
  6. Step 6: Final answer
    x = 1,962.97

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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.