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Finding the Fourth Proportional to 2,237.15, 3,355.71 and 677.09

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Solution

The fourth proportional to 2,237.15, 3,355.71 and 677.09 is: 1,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.15 : 3,355.71 = 677.09 : x
  2. Step 2: Convert to fraction form
    2,237.15/3,355.71 = 677.09/x
  3. Step 3: Cross multiply
    2,237.15x = 3,355.71 × 677.09
  4. Step 4: Simplify right side
    2,237.15x = 2,272,117.68
  5. Step 5: Solve for x
    x = 2,272,117.68/2,237.15
  6. Step 6: Final answer
    x = 1,015.63

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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.