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Finding the Fourth Proportional to 2,892.00, 4,338.16 and 811.92

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Solution

The fourth proportional to 2,892.00, 4,338.16 and 811.92 is: 1,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.00 : 4,338.16 = 811.92 : x
  2. Step 2: Convert to fraction form
    2,892.00/4,338.16 = 811.92/x
  3. Step 3: Cross multiply
    2,892.00x = 4,338.16 × 811.92
  4. Step 4: Simplify right side
    2,892.00x = 3,522,253.11
  5. Step 5: Solve for x
    x = 3,522,253.11/2,892.00
  6. Step 6: Final answer
    x = 1,217.93

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Why These Related Problems?

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