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Finding the Fourth Proportional to 2,672.59, 3,687.99 and 1,610.50

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Solution

The fourth proportional to 2,672.59, 3,687.99 and 1,610.50 is: 2,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.59 : 3,687.99 = 1,610.50 : x
  2. Step 2: Convert to fraction form
    2,672.59/3,687.99 = 1,610.50/x
  3. Step 3: Cross multiply
    2,672.59x = 3,687.99 × 1,610.50
  4. Step 4: Simplify right side
    2,672.59x = 5,939,507.90
  5. Step 5: Solve for x
    x = 5,939,507.90/2,672.59
  6. Step 6: Final answer
    x = 2,222.38

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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.