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Finding the Fourth Proportional to 1,704.68, 2,351.31 and 1,106.11

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Solution

The fourth proportional to 1,704.68, 2,351.31 and 1,106.11 is: 1,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.68 : 2,351.31 = 1,106.11 : x
  2. Step 2: Convert to fraction form
    1,704.68/2,351.31 = 1,106.11/x
  3. Step 3: Cross multiply
    1,704.68x = 2,351.31 × 1,106.11
  4. Step 4: Simplify right side
    1,704.68x = 2,600,791.69
  5. Step 5: Solve for x
    x = 2,600,791.69/1,704.68
  6. Step 6: Final answer
    x = 1,525.68

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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.