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Finding the Fourth Proportional to 2,854.12, 3,940.24 and 1,860

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Solution

The fourth proportional to 2,854.12, 3,940.24 and 1,860 is: 2,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.12 : 3,940.24 = 1,860 : x
  2. Step 2: Convert to fraction form
    2,854.12/3,940.24 = 1,860/x
  3. Step 3: Cross multiply
    2,854.12x = 3,940.24 × 1,860
  4. Step 4: Simplify right side
    2,854.12x = 7,328,846.40
  5. Step 5: Solve for x
    x = 7,328,846.40/2,854.12
  6. Step 6: Final answer
    x = 2,567.81

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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.