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Finding the Fourth Proportional to 2,296.00, 3,446.80 and 1,516.67

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Solution

The fourth proportional to 2,296.00, 3,446.80 and 1,516.67 is: 2,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.00 : 3,446.80 = 1,516.67 : x
  2. Step 2: Convert to fraction form
    2,296.00/3,446.80 = 1,516.67/x
  3. Step 3: Cross multiply
    2,296.00x = 3,446.80 × 1,516.67
  4. Step 4: Simplify right side
    2,296.00x = 5,227,637.13
  5. Step 5: Solve for x
    x = 5,227,637.13/2,296.00
  6. Step 6: Final answer
    x = 2,276.85

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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.