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Finding the Fourth Proportional to 1,632.58, 2,451.31 and 1,603.42

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Solution

The fourth proportional to 1,632.58, 2,451.31 and 1,603.42 is: 2,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.58 : 2,451.31 = 1,603.42 : x
  2. Step 2: Convert to fraction form
    1,632.58/2,451.31 = 1,603.42/x
  3. Step 3: Cross multiply
    1,632.58x = 2,451.31 × 1,603.42
  4. Step 4: Simplify right side
    1,632.58x = 3,930,469.34
  5. Step 5: Solve for x
    x = 3,930,469.34/1,632.58
  6. Step 6: Final answer
    x = 2,407.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.