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Finding the Fourth Proportional to 1,704.81, 2,351.52 and 1,207.47

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Solution

The fourth proportional to 1,704.81, 2,351.52 and 1,207.47 is: 1,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.81 : 2,351.52 = 1,207.47 : x
  2. Step 2: Convert to fraction form
    1,704.81/2,351.52 = 1,207.47/x
  3. Step 3: Cross multiply
    1,704.81x = 2,351.52 × 1,207.47
  4. Step 4: Simplify right side
    1,704.81x = 2,839,389.85
  5. Step 5: Solve for x
    x = 2,839,389.85/1,704.81
  6. Step 6: Final answer
    x = 1,665.52

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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.