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Finding the Fourth Proportional to 2,811.84, 4,208.58 and 2,542.38

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Solution

The fourth proportional to 2,811.84, 4,208.58 and 2,542.38 is: 3,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.84 : 4,208.58 = 2,542.38 : x
  2. Step 2: Convert to fraction form
    2,811.84/4,208.58 = 2,542.38/x
  3. Step 3: Cross multiply
    2,811.84x = 4,208.58 × 2,542.38
  4. Step 4: Simplify right side
    2,811.84x = 10,699,809.62
  5. Step 5: Solve for x
    x = 10,699,809.62/2,811.84
  6. Step 6: Final answer
    x = 3,805.27

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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.