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Finding the Fourth Proportional to 1,446.98, 2,161.67 and 922.81

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Solution

The fourth proportional to 1,446.98, 2,161.67 and 922.81 is: 1,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.98 : 2,161.67 = 922.81 : x
  2. Step 2: Convert to fraction form
    1,446.98/2,161.67 = 922.81/x
  3. Step 3: Cross multiply
    1,446.98x = 2,161.67 × 922.81
  4. Step 4: Simplify right side
    1,446.98x = 1,994,809.92
  5. Step 5: Solve for x
    x = 1,994,809.92/1,446.98
  6. Step 6: Final answer
    x = 1,378.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.