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Finding the Fourth Proportional to 2,958.72, 4,083 and 1,632.48

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Solution

The fourth proportional to 2,958.72, 4,083 and 1,632.48 is: 2,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.72 : 4,083 = 1,632.48 : x
  2. Step 2: Convert to fraction form
    2,958.72/4,083 = 1,632.48/x
  3. Step 3: Cross multiply
    2,958.72x = 4,083 × 1,632.48
  4. Step 4: Simplify right side
    2,958.72x = 6,665,415.84
  5. Step 5: Solve for x
    x = 6,665,415.84/2,958.72
  6. Step 6: Final answer
    x = 2,252.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.