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Finding the Fourth Proportional to 2,609.64, 3,600.90 and 1,475.44

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Solution

The fourth proportional to 2,609.64, 3,600.90 and 1,475.44 is: 2,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.64 : 3,600.90 = 1,475.44 : x
  2. Step 2: Convert to fraction form
    2,609.64/3,600.90 = 1,475.44/x
  3. Step 3: Cross multiply
    2,609.64x = 3,600.90 × 1,475.44
  4. Step 4: Simplify right side
    2,609.64x = 5,312,911.90
  5. Step 5: Solve for x
    x = 5,312,911.90/2,609.64
  6. Step 6: Final answer
    x = 2,035.88

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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.