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Finding the Fourth Proportional to 2,713.83, 4,068.76 and 1,834.14

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Solution

The fourth proportional to 2,713.83, 4,068.76 and 1,834.14 is: 2,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.83 : 4,068.76 = 1,834.14 : x
  2. Step 2: Convert to fraction form
    2,713.83/4,068.76 = 1,834.14/x
  3. Step 3: Cross multiply
    2,713.83x = 4,068.76 × 1,834.14
  4. Step 4: Simplify right side
    2,713.83x = 7,462,670.88
  5. Step 5: Solve for x
    x = 7,462,670.88/2,713.83
  6. Step 6: Final answer
    x = 2,749.87

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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.