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Finding the Fourth Proportional to 2,255.90, 3,383.46 and 612.06

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Solution

The fourth proportional to 2,255.90, 3,383.46 and 612.06 is: 917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.90 : 3,383.46 = 612.06 : x
  2. Step 2: Convert to fraction form
    2,255.90/3,383.46 = 612.06/x
  3. Step 3: Cross multiply
    2,255.90x = 3,383.46 × 612.06
  4. Step 4: Simplify right side
    2,255.90x = 2,070,867.84
  5. Step 5: Solve for x
    x = 2,070,867.84/2,255.90
  6. Step 6: Final answer
    x = 917.98

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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.