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Finding the Fourth Proportional to 2,025.31, 3,038.14 and 564.48

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Solution

The fourth proportional to 2,025.31, 3,038.14 and 564.48 is: 846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.31 : 3,038.14 = 564.48 : x
  2. Step 2: Convert to fraction form
    2,025.31/3,038.14 = 564.48/x
  3. Step 3: Cross multiply
    2,025.31x = 3,038.14 × 564.48
  4. Step 4: Simplify right side
    2,025.31x = 1,714,969.27
  5. Step 5: Solve for x
    x = 1,714,969.27/2,025.31
  6. Step 6: Final answer
    x = 846.77

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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.