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Finding the Fourth Proportional to 2,308.62, 3,464.38 and 1,213.76

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Solution

The fourth proportional to 2,308.62, 3,464.38 and 1,213.76 is: 1,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.62 : 3,464.38 = 1,213.76 : x
  2. Step 2: Convert to fraction form
    2,308.62/3,464.38 = 1,213.76/x
  3. Step 3: Cross multiply
    2,308.62x = 3,464.38 × 1,213.76
  4. Step 4: Simplify right side
    2,308.62x = 4,204,925.87
  5. Step 5: Solve for x
    x = 4,204,925.87/2,308.62
  6. Step 6: Final answer
    x = 1,821.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.