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Finding the Fourth Proportional to 2,025.41, 3,038.31 and 564.57

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Solution

The fourth proportional to 2,025.41, 3,038.31 and 564.57 is: 846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.41 : 3,038.31 = 564.57 : x
  2. Step 2: Convert to fraction form
    2,025.41/3,038.31 = 564.57/x
  3. Step 3: Cross multiply
    2,025.41x = 3,038.31 × 564.57
  4. Step 4: Simplify right side
    2,025.41x = 1,715,338.68
  5. Step 5: Solve for x
    x = 1,715,338.68/2,025.41
  6. Step 6: Final answer
    x = 846.91

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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.