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Finding the Fourth Proportional to 2,223.96, 3,337.95 and 1,184.84

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Solution

The fourth proportional to 2,223.96, 3,337.95 and 1,184.84 is: 1,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.96 : 3,337.95 = 1,184.84 : x
  2. Step 2: Convert to fraction form
    2,223.96/3,337.95 = 1,184.84/x
  3. Step 3: Cross multiply
    2,223.96x = 3,337.95 × 1,184.84
  4. Step 4: Simplify right side
    2,223.96x = 3,954,919.99
  5. Step 5: Solve for x
    x = 3,954,919.99/2,223.96
  6. Step 6: Final answer
    x = 1,778.32

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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.