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Finding the Fourth Proportional to 2,700.10, 4,040.99 and 1,660.75

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Solution

The fourth proportional to 2,700.10, 4,040.99 and 1,660.75 is: 2,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.10 : 4,040.99 = 1,660.75 : x
  2. Step 2: Convert to fraction form
    2,700.10/4,040.99 = 1,660.75/x
  3. Step 3: Cross multiply
    2,700.10x = 4,040.99 × 1,660.75
  4. Step 4: Simplify right side
    2,700.10x = 6,711,061.96
  5. Step 5: Solve for x
    x = 6,711,061.96/2,700.10
  6. Step 6: Final answer
    x = 2,485.49

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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.