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Finding the Fourth Proportional to 1,729.86, 2,588.70 and 1,489.29

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Solution

The fourth proportional to 1,729.86, 2,588.70 and 1,489.29 is: 2,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.86 : 2,588.70 = 1,489.29 : x
  2. Step 2: Convert to fraction form
    1,729.86/2,588.70 = 1,489.29/x
  3. Step 3: Cross multiply
    1,729.86x = 2,588.70 × 1,489.29
  4. Step 4: Simplify right side
    1,729.86x = 3,855,325.02
  5. Step 5: Solve for x
    x = 3,855,325.02/1,729.86
  6. Step 6: Final answer
    x = 2,228.69

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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.