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Finding the Fourth Proportional to 2,016.51, 3,024.65 and 629.69

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Solution

The fourth proportional to 2,016.51, 3,024.65 and 629.69 is: 944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.51 : 3,024.65 = 629.69 : x
  2. Step 2: Convert to fraction form
    2,016.51/3,024.65 = 629.69/x
  3. Step 3: Cross multiply
    2,016.51x = 3,024.65 × 629.69
  4. Step 4: Simplify right side
    2,016.51x = 1,904,579.19
  5. Step 5: Solve for x
    x = 1,904,579.19/2,016.51
  6. Step 6: Final answer
    x = 944.49

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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.