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Finding the Fourth Proportional to 1,736.64, 2,394.90 and 1,609.38

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Solution

The fourth proportional to 1,736.64, 2,394.90 and 1,609.38 is: 2,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.64 : 2,394.90 = 1,609.38 : x
  2. Step 2: Convert to fraction form
    1,736.64/2,394.90 = 1,609.38/x
  3. Step 3: Cross multiply
    1,736.64x = 2,394.90 × 1,609.38
  4. Step 4: Simplify right side
    1,736.64x = 3,854,304.16
  5. Step 5: Solve for x
    x = 3,854,304.16/1,736.64
  6. Step 6: Final answer
    x = 2,219.40

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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.