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Finding the Fourth Proportional to 1,632.22, 2,252.09 and 1,102.10

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Solution

The fourth proportional to 1,632.22, 2,252.09 and 1,102.10 is: 1,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.22 : 2,252.09 = 1,102.10 : x
  2. Step 2: Convert to fraction form
    1,632.22/2,252.09 = 1,102.10/x
  3. Step 3: Cross multiply
    1,632.22x = 2,252.09 × 1,102.10
  4. Step 4: Simplify right side
    1,632.22x = 2,482,019.88
  5. Step 5: Solve for x
    x = 2,482,019.88/1,632.22
  6. Step 6: Final answer
    x = 1,520.64

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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.