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Finding the Fourth Proportional to 1,626.49, 2,243.04 and 1,505.68

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Solution

The fourth proportional to 1,626.49, 2,243.04 and 1,505.68 is: 2,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.49 : 2,243.04 = 1,505.68 : x
  2. Step 2: Convert to fraction form
    1,626.49/2,243.04 = 1,505.68/x
  3. Step 3: Cross multiply
    1,626.49x = 2,243.04 × 1,505.68
  4. Step 4: Simplify right side
    1,626.49x = 3,377,300.47
  5. Step 5: Solve for x
    x = 3,377,300.47/1,626.49
  6. Step 6: Final answer
    x = 2,076.43

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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.