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Finding the Fourth Proportional to 1,632.12, 2,448.09 and 657.96

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Solution

The fourth proportional to 1,632.12, 2,448.09 and 657.96 is: 986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.12 : 2,448.09 = 657.96 : x
  2. Step 2: Convert to fraction form
    1,632.12/2,448.09 = 657.96/x
  3. Step 3: Cross multiply
    1,632.12x = 2,448.09 × 657.96
  4. Step 4: Simplify right side
    1,632.12x = 1,610,745.30
  5. Step 5: Solve for x
    x = 1,610,745.30/1,632.12
  6. Step 6: Final answer
    x = 986.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.