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Finding the Fourth Proportional to 1,629.72, 2,249 and 883.70

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Solution

The fourth proportional to 1,629.72, 2,249 and 883.70 is: 1,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.72 : 2,249 = 883.70 : x
  2. Step 2: Convert to fraction form
    1,629.72/2,249 = 883.70/x
  3. Step 3: Cross multiply
    1,629.72x = 2,249 × 883.70
  4. Step 4: Simplify right side
    1,629.72x = 1,987,441.30
  5. Step 5: Solve for x
    x = 1,987,441.30/1,629.72
  6. Step 6: Final answer
    x = 1,219.50

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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.