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Finding the Fourth Proportional to 1,762.56, 2,434.32 and 1,738.26

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Solution

The fourth proportional to 1,762.56, 2,434.32 and 1,738.26 is: 2,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.56 : 2,434.32 = 1,738.26 : x
  2. Step 2: Convert to fraction form
    1,762.56/2,434.32 = 1,738.26/x
  3. Step 3: Cross multiply
    1,762.56x = 2,434.32 × 1,738.26
  4. Step 4: Simplify right side
    1,762.56x = 4,231,481.08
  5. Step 5: Solve for x
    x = 4,231,481.08/1,762.56
  6. Step 6: Final answer
    x = 2,400.76

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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.