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Finding the Fourth Proportional to 2,025.33, 3,038.06 and 564.36

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Solution

The fourth proportional to 2,025.33, 3,038.06 and 564.36 is: 846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.33 : 3,038.06 = 564.36 : x
  2. Step 2: Convert to fraction form
    2,025.33/3,038.06 = 564.36/x
  3. Step 3: Cross multiply
    2,025.33x = 3,038.06 × 564.36
  4. Step 4: Simplify right side
    2,025.33x = 1,714,559.54
  5. Step 5: Solve for x
    x = 1,714,559.54/2,025.33
  6. Step 6: Final answer
    x = 846.56

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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.