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Finding the Fourth Proportional to 1,729.74, 2,579.54 and 1,632.68

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Solution

The fourth proportional to 1,729.74, 2,579.54 and 1,632.68 is: 2,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.74 : 2,579.54 = 1,632.68 : x
  2. Step 2: Convert to fraction form
    1,729.74/2,579.54 = 1,632.68/x
  3. Step 3: Cross multiply
    1,729.74x = 2,579.54 × 1,632.68
  4. Step 4: Simplify right side
    1,729.74x = 4,211,563.37
  5. Step 5: Solve for x
    x = 4,211,563.37/1,729.74
  6. Step 6: Final answer
    x = 2,434.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.