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Finding the Fourth Proportional to 2,493.61, 3,735.62 and 1,394.64

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Solution

The fourth proportional to 2,493.61, 3,735.62 and 1,394.64 is: 2,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.61 : 3,735.62 = 1,394.64 : x
  2. Step 2: Convert to fraction form
    2,493.61/3,735.62 = 1,394.64/x
  3. Step 3: Cross multiply
    2,493.61x = 3,735.62 × 1,394.64
  4. Step 4: Simplify right side
    2,493.61x = 5,209,845.08
  5. Step 5: Solve for x
    x = 5,209,845.08/2,493.61
  6. Step 6: Final answer
    x = 2,089.28

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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.