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Finding the Fourth Proportional to 2,255.90, 3,383.51 and 612.54

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Solution

The fourth proportional to 2,255.90, 3,383.51 and 612.54 is: 918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.90 : 3,383.51 = 612.54 : x
  2. Step 2: Convert to fraction form
    2,255.90/3,383.51 = 612.54/x
  3. Step 3: Cross multiply
    2,255.90x = 3,383.51 × 612.54
  4. Step 4: Simplify right side
    2,255.90x = 2,072,532.15
  5. Step 5: Solve for x
    x = 2,072,532.15/2,255.90
  6. Step 6: Final answer
    x = 918.72

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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.