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Finding the Fourth Proportional to 1,768.09, 2,440.41 and 1,022.48

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Solution

The fourth proportional to 1,768.09, 2,440.41 and 1,022.48 is: 1,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.09 : 2,440.41 = 1,022.48 : x
  2. Step 2: Convert to fraction form
    1,768.09/2,440.41 = 1,022.48/x
  3. Step 3: Cross multiply
    1,768.09x = 2,440.41 × 1,022.48
  4. Step 4: Simplify right side
    1,768.09x = 2,495,265.30
  5. Step 5: Solve for x
    x = 2,495,265.30/1,768.09
  6. Step 6: Final answer
    x = 1,411.28

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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.