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Finding the Fourth Proportional to 2,025.36, 3,037.44 and 564.12

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Solution

The fourth proportional to 2,025.36, 3,037.44 and 564.12 is: 846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.36 : 3,037.44 = 564.12 : x
  2. Step 2: Convert to fraction form
    2,025.36/3,037.44 = 564.12/x
  3. Step 3: Cross multiply
    2,025.36x = 3,037.44 × 564.12
  4. Step 4: Simplify right side
    2,025.36x = 1,713,480.65
  5. Step 5: Solve for x
    x = 1,713,480.65/2,025.36
  6. Step 6: Final answer
    x = 846.01

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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.