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Finding the Fourth Proportional to 2,308.94, 3,186.14 and 1,314.39

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Solution

The fourth proportional to 2,308.94, 3,186.14 and 1,314.39 is: 1,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.94 : 3,186.14 = 1,314.39 : x
  2. Step 2: Convert to fraction form
    2,308.94/3,186.14 = 1,314.39/x
  3. Step 3: Cross multiply
    2,308.94x = 3,186.14 × 1,314.39
  4. Step 4: Simplify right side
    2,308.94x = 4,187,823.98
  5. Step 5: Solve for x
    x = 4,187,823.98/2,308.94
  6. Step 6: Final answer
    x = 1,813.75

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Why These Related Problems?

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