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Finding the Fourth Proportional to 3,057.30, 4,585.31 and 865.44

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Solution

The fourth proportional to 3,057.30, 4,585.31 and 865.44 is: 1,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.30 : 4,585.31 = 865.44 : x
  2. Step 2: Convert to fraction form
    3,057.30/4,585.31 = 865.44/x
  3. Step 3: Cross multiply
    3,057.30x = 4,585.31 × 865.44
  4. Step 4: Simplify right side
    3,057.30x = 3,968,324.31
  5. Step 5: Solve for x
    x = 3,968,324.31/3,057.30
  6. Step 6: Final answer
    x = 1,297.98

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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.