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Finding the Fourth Proportional to 3,201.88, 4,795.14 and 1,831

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Solution

The fourth proportional to 3,201.88, 4,795.14 and 1,831 is: 2,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.88 : 4,795.14 = 1,831 : x
  2. Step 2: Convert to fraction form
    3,201.88/4,795.14 = 1,831/x
  3. Step 3: Cross multiply
    3,201.88x = 4,795.14 × 1,831
  4. Step 4: Simplify right side
    3,201.88x = 8,779,901.34
  5. Step 5: Solve for x
    x = 8,779,901.34/3,201.88
  6. Step 6: Final answer
    x = 2,742.11

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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.