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Finding the Fourth Proportional to 1,756.44, 2,638.36 and 1,107.64

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Solution

The fourth proportional to 1,756.44, 2,638.36 and 1,107.64 is: 1,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.44 : 2,638.36 = 1,107.64 : x
  2. Step 2: Convert to fraction form
    1,756.44/2,638.36 = 1,107.64/x
  3. Step 3: Cross multiply
    1,756.44x = 2,638.36 × 1,107.64
  4. Step 4: Simplify right side
    1,756.44x = 2,922,353.07
  5. Step 5: Solve for x
    x = 2,922,353.07/1,756.44
  6. Step 6: Final answer
    x = 1,663.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.