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Finding the Fourth Proportional to 2,224.12, 3,328.95 and 1,638.89

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Solution

The fourth proportional to 2,224.12, 3,328.95 and 1,638.89 is: 2,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.12 : 3,328.95 = 1,638.89 : x
  2. Step 2: Convert to fraction form
    2,224.12/3,328.95 = 1,638.89/x
  3. Step 3: Cross multiply
    2,224.12x = 3,328.95 × 1,638.89
  4. Step 4: Simplify right side
    2,224.12x = 5,455,782.87
  5. Step 5: Solve for x
    x = 5,455,782.87/2,224.12
  6. Step 6: Final answer
    x = 2,453.01

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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.