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Finding the Fourth Proportional to 1,632.49, 2,447.09 and 938.95

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Solution

The fourth proportional to 1,632.49, 2,447.09 and 938.95 is: 1,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.49 : 2,447.09 = 938.95 : x
  2. Step 2: Convert to fraction form
    1,632.49/2,447.09 = 938.95/x
  3. Step 3: Cross multiply
    1,632.49x = 2,447.09 × 938.95
  4. Step 4: Simplify right side
    1,632.49x = 2,297,695.16
  5. Step 5: Solve for x
    x = 2,297,695.16/1,632.49
  6. Step 6: Final answer
    x = 1,407.48

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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.