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Finding the Fourth Proportional to 2,237.18, 3,355 and 775.99

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Solution

The fourth proportional to 2,237.18, 3,355 and 775.99 is: 1,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.18 : 3,355 = 775.99 : x
  2. Step 2: Convert to fraction form
    2,237.18/3,355 = 775.99/x
  3. Step 3: Cross multiply
    2,237.18x = 3,355 × 775.99
  4. Step 4: Simplify right side
    2,237.18x = 2,603,446.45
  5. Step 5: Solve for x
    x = 2,603,446.45/2,237.18
  6. Step 6: Final answer
    x = 1,163.72

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Why These Related Problems?

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