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Finding the Fourth Proportional to 1,632.92, 2,251.08 and 1,102.10

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Solution

The fourth proportional to 1,632.92, 2,251.08 and 1,102.10 is: 1,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.92 : 2,251.08 = 1,102.10 : x
  2. Step 2: Convert to fraction form
    1,632.92/2,251.08 = 1,102.10/x
  3. Step 3: Cross multiply
    1,632.92x = 2,251.08 × 1,102.10
  4. Step 4: Simplify right side
    1,632.92x = 2,480,904.01
  5. Step 5: Solve for x
    x = 2,480,904.01/1,632.92
  6. Step 6: Final answer
    x = 1,519.31

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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.