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Finding the Fourth Proportional to 2,049.38, 2,828.14 and 1,117.88

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Solution

The fourth proportional to 2,049.38, 2,828.14 and 1,117.88 is: 1,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.38 : 2,828.14 = 1,117.88 : x
  2. Step 2: Convert to fraction form
    2,049.38/2,828.14 = 1,117.88/x
  3. Step 3: Cross multiply
    2,049.38x = 2,828.14 × 1,117.88
  4. Step 4: Simplify right side
    2,049.38x = 3,161,504.21
  5. Step 5: Solve for x
    x = 3,161,504.21/2,049.38
  6. Step 6: Final answer
    x = 1,542.67

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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.