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Finding the Fourth Proportional to 2,672.24, 3,998.78 and 1,632.50

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Solution

The fourth proportional to 2,672.24, 3,998.78 and 1,632.50 is: 2,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.24 : 3,998.78 = 1,632.50 : x
  2. Step 2: Convert to fraction form
    2,672.24/3,998.78 = 1,632.50/x
  3. Step 3: Cross multiply
    2,672.24x = 3,998.78 × 1,632.50
  4. Step 4: Simplify right side
    2,672.24x = 6,528,008.35
  5. Step 5: Solve for x
    x = 6,528,008.35/2,672.24
  6. Step 6: Final answer
    x = 2,442.90

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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.