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Finding the Fourth Proportional to 2,224.90, 3,334.25 and 1,054.45

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Solution

The fourth proportional to 2,224.90, 3,334.25 and 1,054.45 is: 1,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.90 : 3,334.25 = 1,054.45 : x
  2. Step 2: Convert to fraction form
    2,224.90/3,334.25 = 1,054.45/x
  3. Step 3: Cross multiply
    2,224.90x = 3,334.25 × 1,054.45
  4. Step 4: Simplify right side
    2,224.90x = 3,515,794.64
  5. Step 5: Solve for x
    x = 3,515,794.64/2,224.90
  6. Step 6: Final answer
    x = 1,580.20

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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.