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Finding the Fourth Proportional to 2,609.02, 3,599.09 and 1,769.42

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Solution

The fourth proportional to 2,609.02, 3,599.09 and 1,769.42 is: 2,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.02 : 3,599.09 = 1,769.42 : x
  2. Step 2: Convert to fraction form
    2,609.02/3,599.09 = 1,769.42/x
  3. Step 3: Cross multiply
    2,609.02x = 3,599.09 × 1,769.42
  4. Step 4: Simplify right side
    2,609.02x = 6,368,292.98
  5. Step 5: Solve for x
    x = 6,368,292.98/2,609.02
  6. Step 6: Final answer
    x = 2,440.88

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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.