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Finding the Fourth Proportional to 2,025.29, 3,037.52 and 564.05

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Solution

The fourth proportional to 2,025.29, 3,037.52 and 564.05 is: 845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.29 : 3,037.52 = 564.05 : x
  2. Step 2: Convert to fraction form
    2,025.29/3,037.52 = 564.05/x
  3. Step 3: Cross multiply
    2,025.29x = 3,037.52 × 564.05
  4. Step 4: Simplify right side
    2,025.29x = 1,713,295.15
  5. Step 5: Solve for x
    x = 1,713,295.15/2,025.29
  6. Step 6: Final answer
    x = 845.95

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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.