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Finding the Fourth Proportional to 2,725.64, 3,760.90 and 1,606.80

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Solution

The fourth proportional to 2,725.64, 3,760.90 and 1,606.80 is: 2,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.64 : 3,760.90 = 1,606.80 : x
  2. Step 2: Convert to fraction form
    2,725.64/3,760.90 = 1,606.80/x
  3. Step 3: Cross multiply
    2,725.64x = 3,760.90 × 1,606.80
  4. Step 4: Simplify right side
    2,725.64x = 6,043,014.12
  5. Step 5: Solve for x
    x = 6,043,014.12/2,725.64
  6. Step 6: Final answer
    x = 2,217.10

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1.5x scale

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.