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Finding the Fourth Proportional to 1,446.87, 1,996.74 and 817.50

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Solution

The fourth proportional to 1,446.87, 1,996.74 and 817.50 is: 1,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.87 : 1,996.74 = 817.50 : x
  2. Step 2: Convert to fraction form
    1,446.87/1,996.74 = 817.50/x
  3. Step 3: Cross multiply
    1,446.87x = 1,996.74 × 817.50
  4. Step 4: Simplify right side
    1,446.87x = 1,632,334.95
  5. Step 5: Solve for x
    x = 1,632,334.95/1,446.87
  6. Step 6: Final answer
    x = 1,128.18

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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.