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Finding the Fourth Proportional to 2,309.61, 3,187.31 and 1,261.68

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Solution

The fourth proportional to 2,309.61, 3,187.31 and 1,261.68 is: 1,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.61 : 3,187.31 = 1,261.68 : x
  2. Step 2: Convert to fraction form
    2,309.61/3,187.31 = 1,261.68/x
  3. Step 3: Cross multiply
    2,309.61x = 3,187.31 × 1,261.68
  4. Step 4: Simplify right side
    2,309.61x = 4,021,358.97
  5. Step 5: Solve for x
    x = 4,021,358.97/2,309.61
  6. Step 6: Final answer
    x = 1,741.14

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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.