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Finding the Fourth Proportional to 3,181.88, 4,389.12 and 1,855.40

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Solution

The fourth proportional to 3,181.88, 4,389.12 and 1,855.40 is: 2,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.88 : 4,389.12 = 1,855.40 : x
  2. Step 2: Convert to fraction form
    3,181.88/4,389.12 = 1,855.40/x
  3. Step 3: Cross multiply
    3,181.88x = 4,389.12 × 1,855.40
  4. Step 4: Simplify right side
    3,181.88x = 8,143,573.25
  5. Step 5: Solve for x
    x = 8,143,573.25/3,181.88
  6. Step 6: Final answer
    x = 2,559.36

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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.