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Finding the Fourth Proportional to 2,660.99, 3,671.46 and 1,775.25

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Solution

The fourth proportional to 2,660.99, 3,671.46 and 1,775.25 is: 2,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.99 : 3,671.46 = 1,775.25 : x
  2. Step 2: Convert to fraction form
    2,660.99/3,671.46 = 1,775.25/x
  3. Step 3: Cross multiply
    2,660.99x = 3,671.46 × 1,775.25
  4. Step 4: Simplify right side
    2,660.99x = 6,517,759.37
  5. Step 5: Solve for x
    x = 6,517,759.37/2,660.99
  6. Step 6: Final answer
    x = 2,449.38

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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.