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Finding the Fourth Proportional to 2,992.65, 4,126.86 and 2,544

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Solution

The fourth proportional to 2,992.65, 4,126.86 and 2,544 is: 3,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.65 : 4,126.86 = 2,544 : x
  2. Step 2: Convert to fraction form
    2,992.65/4,126.86 = 2,544/x
  3. Step 3: Cross multiply
    2,992.65x = 4,126.86 × 2,544
  4. Step 4: Simplify right side
    2,992.65x = 10,498,731.84
  5. Step 5: Solve for x
    x = 10,498,731.84/2,992.65
  6. Step 6: Final answer
    x = 3,508.17

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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.