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Finding the Fourth Proportional to 2,019.56, 3,029.38 and 632.84

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Solution

The fourth proportional to 2,019.56, 3,029.38 and 632.84 is: 949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.56 : 3,029.38 = 632.84 : x
  2. Step 2: Convert to fraction form
    2,019.56/3,029.38 = 632.84/x
  3. Step 3: Cross multiply
    2,019.56x = 3,029.38 × 632.84
  4. Step 4: Simplify right side
    2,019.56x = 1,917,112.84
  5. Step 5: Solve for x
    x = 1,917,112.84/2,019.56
  6. Step 6: Final answer
    x = 949.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.