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Finding the Fourth Proportional to 1,744.74, 2,629.53 and 1,744.74

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Solution

The fourth proportional to 1,744.74, 2,629.53 and 1,744.74 is: 2,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.74 : 2,629.53 = 1,744.74 : x
  2. Step 2: Convert to fraction form
    1,744.74/2,629.53 = 1,744.74/x
  3. Step 3: Cross multiply
    1,744.74x = 2,629.53 × 1,744.74
  4. Step 4: Simplify right side
    1,744.74x = 4,587,846.17
  5. Step 5: Solve for x
    x = 4,587,846.17/1,744.74
  6. Step 6: Final answer
    x = 2,629.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.