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Finding the Fourth Proportional to 1,756.26, 2,628.99 and 1,138.64

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Solution

The fourth proportional to 1,756.26, 2,628.99 and 1,138.64 is: 1,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.26 : 2,628.99 = 1,138.64 : x
  2. Step 2: Convert to fraction form
    1,756.26/2,628.99 = 1,138.64/x
  3. Step 3: Cross multiply
    1,756.26x = 2,628.99 × 1,138.64
  4. Step 4: Simplify right side
    1,756.26x = 2,993,460.03
  5. Step 5: Solve for x
    x = 2,993,460.03/1,756.26
  6. Step 6: Final answer
    x = 1,704.45

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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.