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Finding the Fourth Proportional to 2,308.90, 3,185.91 and 1,314.20

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Solution

The fourth proportional to 2,308.90, 3,185.91 and 1,314.20 is: 1,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.90 : 3,185.91 = 1,314.20 : x
  2. Step 2: Convert to fraction form
    2,308.90/3,185.91 = 1,314.20/x
  3. Step 3: Cross multiply
    2,308.90x = 3,185.91 × 1,314.20
  4. Step 4: Simplify right side
    2,308.90x = 4,186,906.99
  5. Step 5: Solve for x
    x = 4,186,906.99/2,308.90
  6. Step 6: Final answer
    x = 1,813.38

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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.