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Finding the Fourth Proportional to 1,704.66, 2,351.61 and 1,483.26

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Solution

The fourth proportional to 1,704.66, 2,351.61 and 1,483.26 is: 2,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.66 : 2,351.61 = 1,483.26 : x
  2. Step 2: Convert to fraction form
    1,704.66/2,351.61 = 1,483.26/x
  3. Step 3: Cross multiply
    1,704.66x = 2,351.61 × 1,483.26
  4. Step 4: Simplify right side
    1,704.66x = 3,488,049.05
  5. Step 5: Solve for x
    x = 3,488,049.05/1,704.66
  6. Step 6: Final answer
    x = 2,046.18

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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.