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Finding the Fourth Proportional to 1,704.30, 2,351.07 and 1,445.10

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Solution

The fourth proportional to 1,704.30, 2,351.07 and 1,445.10 is: 1,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.30 : 2,351.07 = 1,445.10 : x
  2. Step 2: Convert to fraction form
    1,704.30/2,351.07 = 1,445.10/x
  3. Step 3: Cross multiply
    1,704.30x = 2,351.07 × 1,445.10
  4. Step 4: Simplify right side
    1,704.30x = 3,397,531.26
  5. Step 5: Solve for x
    x = 3,397,531.26/1,704.30
  6. Step 6: Final answer
    x = 1,993.51

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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.