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Finding the Fourth Proportional to 2,498.10, 3,747.90 and 854.64

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Solution

The fourth proportional to 2,498.10, 3,747.90 and 854.64 is: 1,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.10 : 3,747.90 = 854.64 : x
  2. Step 2: Convert to fraction form
    2,498.10/3,747.90 = 854.64/x
  3. Step 3: Cross multiply
    2,498.10x = 3,747.90 × 854.64
  4. Step 4: Simplify right side
    2,498.10x = 3,203,108.46
  5. Step 5: Solve for x
    x = 3,203,108.46/2,498.10
  6. Step 6: Final answer
    x = 1,282.22

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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.