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Finding the Fourth Proportional to 4,103.31, 6,154.97 and 1,025.31

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Solution

The fourth proportional to 4,103.31, 6,154.97 and 1,025.31 is: 1,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.31 : 6,154.97 = 1,025.31 : x
  2. Step 2: Convert to fraction form
    4,103.31/6,154.97 = 1,025.31/x
  3. Step 3: Cross multiply
    4,103.31x = 6,154.97 × 1,025.31
  4. Step 4: Simplify right side
    4,103.31x = 6,310,752.29
  5. Step 5: Solve for x
    x = 6,310,752.29/4,103.31
  6. Step 6: Final answer
    x = 1,537.97

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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.