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Finding the Fourth Proportional to 2,775.80, 3,816.78 and 2,660.60

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Solution

The fourth proportional to 2,775.80, 3,816.78 and 2,660.60 is: 3,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.80 : 3,816.78 = 2,660.60 : x
  2. Step 2: Convert to fraction form
    2,775.80/3,816.78 = 2,660.60/x
  3. Step 3: Cross multiply
    2,775.80x = 3,816.78 × 2,660.60
  4. Step 4: Simplify right side
    2,775.80x = 10,154,924.87
  5. Step 5: Solve for x
    x = 10,154,924.87/2,775.80
  6. Step 6: Final answer
    x = 3,658.38

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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.