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Finding the Fourth Proportional to 1,704.20, 2,570.75 and 1,632.20

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Solution

The fourth proportional to 1,704.20, 2,570.75 and 1,632.20 is: 2,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.20 : 2,570.75 = 1,632.20 : x
  2. Step 2: Convert to fraction form
    1,704.20/2,570.75 = 1,632.20/x
  3. Step 3: Cross multiply
    1,704.20x = 2,570.75 × 1,632.20
  4. Step 4: Simplify right side
    1,704.20x = 4,195,978.15
  5. Step 5: Solve for x
    x = 4,195,978.15/1,704.20
  6. Step 6: Final answer
    x = 2,462.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.