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Finding the Fourth Proportional to 1,632.20, 2,252.45 and 886.16

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Solution

The fourth proportional to 1,632.20, 2,252.45 and 886.16 is: 1,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.20 : 2,252.45 = 886.16 : x
  2. Step 2: Convert to fraction form
    1,632.20/2,252.45 = 886.16/x
  3. Step 3: Cross multiply
    1,632.20x = 2,252.45 × 886.16
  4. Step 4: Simplify right side
    1,632.20x = 1,996,022.05
  5. Step 5: Solve for x
    x = 1,996,022.05/1,632.20
  6. Step 6: Final answer
    x = 1,222.91

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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.