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Finding the Fourth Proportional to 1,878.85, 2,818.25 and 629.54

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Solution

The fourth proportional to 1,878.85, 2,818.25 and 629.54 is: 944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.85 : 2,818.25 = 629.54 : x
  2. Step 2: Convert to fraction form
    1,878.85/2,818.25 = 629.54/x
  3. Step 3: Cross multiply
    1,878.85x = 2,818.25 × 629.54
  4. Step 4: Simplify right side
    1,878.85x = 1,774,183.87
  5. Step 5: Solve for x
    x = 1,774,183.87/1,878.85
  6. Step 6: Final answer
    x = 944.29

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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.