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Finding the Fourth Proportional to 2,308.96, 3,183.96 and 1,522

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Solution

The fourth proportional to 2,308.96, 3,183.96 and 1,522 is: 2,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.96 : 3,183.96 = 1,522 : x
  2. Step 2: Convert to fraction form
    2,308.96/3,183.96 = 1,522/x
  3. Step 3: Cross multiply
    2,308.96x = 3,183.96 × 1,522
  4. Step 4: Simplify right side
    2,308.96x = 4,845,987.12
  5. Step 5: Solve for x
    x = 4,845,987.12/2,308.96
  6. Step 6: Final answer
    x = 2,098.77

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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.