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Finding the Fourth Proportional to 1,632.10, 2,449.20 and 902.20

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Solution

The fourth proportional to 1,632.10, 2,449.20 and 902.20 is: 1,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.10 : 2,449.20 = 902.20 : x
  2. Step 2: Convert to fraction form
    1,632.10/2,449.20 = 902.20/x
  3. Step 3: Cross multiply
    1,632.10x = 2,449.20 × 902.20
  4. Step 4: Simplify right side
    1,632.10x = 2,209,668.24
  5. Step 5: Solve for x
    x = 2,209,668.24/1,632.10
  6. Step 6: Final answer
    x = 1,353.88

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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.