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Finding the Fourth Proportional to 2,025.35, 3,038.21 and 564.47

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Solution

The fourth proportional to 2,025.35, 3,038.21 and 564.47 is: 846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.35 : 3,038.21 = 564.47 : x
  2. Step 2: Convert to fraction form
    2,025.35/3,038.21 = 564.47/x
  3. Step 3: Cross multiply
    2,025.35x = 3,038.21 × 564.47
  4. Step 4: Simplify right side
    2,025.35x = 1,714,973.90
  5. Step 5: Solve for x
    x = 1,714,973.90/2,025.35
  6. Step 6: Final answer
    x = 846.75

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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.