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Finding the Fourth Proportional to 2,632.04, 3,630.48 and 1,583

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Solution

The fourth proportional to 2,632.04, 3,630.48 and 1,583 is: 2,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.04 : 3,630.48 = 1,583 : x
  2. Step 2: Convert to fraction form
    2,632.04/3,630.48 = 1,583/x
  3. Step 3: Cross multiply
    2,632.04x = 3,630.48 × 1,583
  4. Step 4: Simplify right side
    2,632.04x = 5,747,049.84
  5. Step 5: Solve for x
    x = 5,747,049.84/2,632.04
  6. Step 6: Final answer
    x = 2,183.50

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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.