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Finding the Fourth Proportional to 2,847.25, 3,929.21 and 1,605.25

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Solution

The fourth proportional to 2,847.25, 3,929.21 and 1,605.25 is: 2,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.25 : 3,929.21 = 1,605.25 : x
  2. Step 2: Convert to fraction form
    2,847.25/3,929.21 = 1,605.25/x
  3. Step 3: Cross multiply
    2,847.25x = 3,929.21 × 1,605.25
  4. Step 4: Simplify right side
    2,847.25x = 6,307,364.35
  5. Step 5: Solve for x
    x = 6,307,364.35/2,847.25
  6. Step 6: Final answer
    x = 2,215.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.