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Finding the Fourth Proportional to 3,115.91, 4,295.16 and 2,051.84

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Solution

The fourth proportional to 3,115.91, 4,295.16 and 2,051.84 is: 2,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.91 : 4,295.16 = 2,051.84 : x
  2. Step 2: Convert to fraction form
    3,115.91/4,295.16 = 2,051.84/x
  3. Step 3: Cross multiply
    3,115.91x = 4,295.16 × 2,051.84
  4. Step 4: Simplify right side
    3,115.91x = 8,812,965.23
  5. Step 5: Solve for x
    x = 8,812,965.23/3,115.91
  6. Step 6: Final answer
    x = 2,828.38

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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.