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Finding the Fourth Proportional to 3,109.25, 4,290.77 and 1,712

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Solution

The fourth proportional to 3,109.25, 4,290.77 and 1,712 is: 2,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.25 : 4,290.77 = 1,712 : x
  2. Step 2: Convert to fraction form
    3,109.25/4,290.77 = 1,712/x
  3. Step 3: Cross multiply
    3,109.25x = 4,290.77 × 1,712
  4. Step 4: Simplify right side
    3,109.25x = 7,345,789.68
  5. Step 5: Solve for x
    x = 7,345,789.68/3,109.25
  6. Step 6: Final answer
    x = 2,362.56

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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.