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Finding the Fourth Proportional to 2,019.69, 3,029.25 and 632.70

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Solution

The fourth proportional to 2,019.69, 3,029.25 and 632.70 is: 948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.69 : 3,029.25 = 632.70 : x
  2. Step 2: Convert to fraction form
    2,019.69/3,029.25 = 632.70/x
  3. Step 3: Cross multiply
    2,019.69x = 3,029.25 × 632.70
  4. Step 4: Simplify right side
    2,019.69x = 1,916,606.48
  5. Step 5: Solve for x
    x = 1,916,606.48/2,019.69
  6. Step 6: Final answer
    x = 948.96

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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.