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Finding the Fourth Proportional to 2,309.92, 3,186.91 and 1,314.49

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Solution

The fourth proportional to 2,309.92, 3,186.91 and 1,314.49 is: 1,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.92 : 3,186.91 = 1,314.49 : x
  2. Step 2: Convert to fraction form
    2,309.92/3,186.91 = 1,314.49/x
  3. Step 3: Cross multiply
    2,309.92x = 3,186.91 × 1,314.49
  4. Step 4: Simplify right side
    2,309.92x = 4,189,159.91
  5. Step 5: Solve for x
    x = 4,189,159.91/2,309.92
  6. Step 6: Final answer
    x = 1,813.55

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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.