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Finding the Fourth Proportional to 2,451.37, 3,677.25 and 696.35

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Solution

The fourth proportional to 2,451.37, 3,677.25 and 696.35 is: 1,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.37 : 3,677.25 = 696.35 : x
  2. Step 2: Convert to fraction form
    2,451.37/3,677.25 = 696.35/x
  3. Step 3: Cross multiply
    2,451.37x = 3,677.25 × 696.35
  4. Step 4: Simplify right side
    2,451.37x = 2,560,653.04
  5. Step 5: Solve for x
    x = 2,560,653.04/2,451.37
  6. Step 6: Final answer
    x = 1,044.58

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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.