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Finding the Fourth Proportional to 2,237.15, 3,356.25 and 677.17

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Solution

The fourth proportional to 2,237.15, 3,356.25 and 677.17 is: 1,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.15 : 3,356.25 = 677.17 : x
  2. Step 2: Convert to fraction form
    2,237.15/3,356.25 = 677.17/x
  3. Step 3: Cross multiply
    2,237.15x = 3,356.25 × 677.17
  4. Step 4: Simplify right side
    2,237.15x = 2,272,745.96
  5. Step 5: Solve for x
    x = 2,272,745.96/2,237.15
  6. Step 6: Final answer
    x = 1,015.91

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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.