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Finding the Fourth Proportional to 2,256.83, 3,385.31 and 613.41

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Solution

The fourth proportional to 2,256.83, 3,385.31 and 613.41 is: 920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.83 : 3,385.31 = 613.41 : x
  2. Step 2: Convert to fraction form
    2,256.83/3,385.31 = 613.41/x
  3. Step 3: Cross multiply
    2,256.83x = 3,385.31 × 613.41
  4. Step 4: Simplify right side
    2,256.83x = 2,076,584.54
  5. Step 5: Solve for x
    x = 2,076,584.54/2,256.83
  6. Step 6: Final answer
    x = 920.13

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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.