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Finding the Fourth Proportional to 1,767.40, 2,440.42 and 1,138.28

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Solution

The fourth proportional to 1,767.40, 2,440.42 and 1,138.28 is: 1,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.40 : 2,440.42 = 1,138.28 : x
  2. Step 2: Convert to fraction form
    1,767.40/2,440.42 = 1,138.28/x
  3. Step 3: Cross multiply
    1,767.40x = 2,440.42 × 1,138.28
  4. Step 4: Simplify right side
    1,767.40x = 2,777,881.28
  5. Step 5: Solve for x
    x = 2,777,881.28/1,767.40
  6. Step 6: Final answer
    x = 1,571.73

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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.