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Finding the Fourth Proportional to 2,713.91, 4,051.22 and 2,511

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Solution

The fourth proportional to 2,713.91, 4,051.22 and 2,511 is: 3,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.91 : 4,051.22 = 2,511 : x
  2. Step 2: Convert to fraction form
    2,713.91/4,051.22 = 2,511/x
  3. Step 3: Cross multiply
    2,713.91x = 4,051.22 × 2,511
  4. Step 4: Simplify right side
    2,713.91x = 10,172,600.87
  5. Step 5: Solve for x
    x = 10,172,600.87/2,713.91
  6. Step 6: Final answer
    x = 3,748.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.