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Finding the Fourth Proportional to 2,308.91, 3,186.54 and 1,314.36

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Solution

The fourth proportional to 2,308.91, 3,186.54 and 1,314.36 is: 1,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.91 : 3,186.54 = 1,314.36 : x
  2. Step 2: Convert to fraction form
    2,308.91/3,186.54 = 1,314.36/x
  3. Step 3: Cross multiply
    2,308.91x = 3,186.54 × 1,314.36
  4. Step 4: Simplify right side
    2,308.91x = 4,188,260.71
  5. Step 5: Solve for x
    x = 4,188,260.71/2,308.91
  6. Step 6: Final answer
    x = 1,813.96

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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.