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Finding the Fourth Proportional to 2,224.06, 3,334.47 and 1,919.50

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Solution

The fourth proportional to 2,224.06, 3,334.47 and 1,919.50 is: 2,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.06 : 3,334.47 = 1,919.50 : x
  2. Step 2: Convert to fraction form
    2,224.06/3,334.47 = 1,919.50/x
  3. Step 3: Cross multiply
    2,224.06x = 3,334.47 × 1,919.50
  4. Step 4: Simplify right side
    2,224.06x = 6,400,515.17
  5. Step 5: Solve for x
    x = 6,400,515.17/2,224.06
  6. Step 6: Final answer
    x = 2,877.85

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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.