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Finding the Fourth Proportional to 2,017.58, 3,025.38 and 847.22

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Solution

The fourth proportional to 2,017.58, 3,025.38 and 847.22 is: 1,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.58 : 3,025.38 = 847.22 : x
  2. Step 2: Convert to fraction form
    2,017.58/3,025.38 = 847.22/x
  3. Step 3: Cross multiply
    2,017.58x = 3,025.38 × 847.22
  4. Step 4: Simplify right side
    2,017.58x = 2,563,162.44
  5. Step 5: Solve for x
    x = 2,563,162.44/2,017.58
  6. Step 6: Final answer
    x = 1,270.41

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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.