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Finding the Fourth Proportional to 2,025.69, 3,038.25 and 638.70

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Solution

The fourth proportional to 2,025.69, 3,038.25 and 638.70 is: 957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.69 : 3,038.25 = 638.70 : x
  2. Step 2: Convert to fraction form
    2,025.69/3,038.25 = 638.70/x
  3. Step 3: Cross multiply
    2,025.69x = 3,038.25 × 638.70
  4. Step 4: Simplify right side
    2,025.69x = 1,940,530.28
  5. Step 5: Solve for x
    x = 1,940,530.28/2,025.69
  6. Step 6: Final answer
    x = 957.96

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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.