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Finding the Fourth Proportional to 2,338.40, 3,507.60 and 1,609.40

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Solution

The fourth proportional to 2,338.40, 3,507.60 and 1,609.40 is: 2,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.40 : 3,507.60 = 1,609.40 : x
  2. Step 2: Convert to fraction form
    2,338.40/3,507.60 = 1,609.40/x
  3. Step 3: Cross multiply
    2,338.40x = 3,507.60 × 1,609.40
  4. Step 4: Simplify right side
    2,338.40x = 5,645,131.44
  5. Step 5: Solve for x
    x = 5,645,131.44/2,338.40
  6. Step 6: Final answer
    x = 2,414.10

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1.5x scale

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.