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Finding the Fourth Proportional to 1,704.65, 2,351.03 and 1,471.37

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Solution

The fourth proportional to 1,704.65, 2,351.03 and 1,471.37 is: 2,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.65 : 2,351.03 = 1,471.37 : x
  2. Step 2: Convert to fraction form
    1,704.65/2,351.03 = 1,471.37/x
  3. Step 3: Cross multiply
    1,704.65x = 2,351.03 × 1,471.37
  4. Step 4: Simplify right side
    1,704.65x = 3,459,215.90
  5. Step 5: Solve for x
    x = 3,459,215.90/1,704.65
  6. Step 6: Final answer
    x = 2,029.29

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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.