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Finding the Fourth Proportional to 2,542.94, 3,810.94 and 1,556.09

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Solution

The fourth proportional to 2,542.94, 3,810.94 and 1,556.09 is: 2,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.94 : 3,810.94 = 1,556.09 : x
  2. Step 2: Convert to fraction form
    2,542.94/3,810.94 = 1,556.09/x
  3. Step 3: Cross multiply
    2,542.94x = 3,810.94 × 1,556.09
  4. Step 4: Simplify right side
    2,542.94x = 5,930,165.62
  5. Step 5: Solve for x
    x = 5,930,165.62/2,542.94
  6. Step 6: Final answer
    x = 2,332.01

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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.