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Finding the Fourth Proportional to 2,402.44, 3,604.74 and 1,103.92

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Solution

The fourth proportional to 2,402.44, 3,604.74 and 1,103.92 is: 1,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.44 : 3,604.74 = 1,103.92 : x
  2. Step 2: Convert to fraction form
    2,402.44/3,604.74 = 1,103.92/x
  3. Step 3: Cross multiply
    2,402.44x = 3,604.74 × 1,103.92
  4. Step 4: Simplify right side
    2,402.44x = 3,979,344.58
  5. Step 5: Solve for x
    x = 3,979,344.58/2,402.44
  6. Step 6: Final answer
    x = 1,656.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.