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Finding the Fourth Proportional to 2,025.02, 3,035.26 and 854.67

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Solution

The fourth proportional to 2,025.02, 3,035.26 and 854.67 is: 1,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.02 : 3,035.26 = 854.67 : x
  2. Step 2: Convert to fraction form
    2,025.02/3,035.26 = 854.67/x
  3. Step 3: Cross multiply
    2,025.02x = 3,035.26 × 854.67
  4. Step 4: Simplify right side
    2,025.02x = 2,594,145.66
  5. Step 5: Solve for x
    x = 2,594,145.66/2,025.02
  6. Step 6: Final answer
    x = 1,281.05

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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.