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Finding the Fourth Proportional to 3,434.90, 4,740.09 and 2,255.90

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Solution

The fourth proportional to 3,434.90, 4,740.09 and 2,255.90 is: 3,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.90 : 4,740.09 = 2,255.90 : x
  2. Step 2: Convert to fraction form
    3,434.90/4,740.09 = 2,255.90/x
  3. Step 3: Cross multiply
    3,434.90x = 4,740.09 × 2,255.90
  4. Step 4: Simplify right side
    3,434.90x = 10,693,169.03
  5. Step 5: Solve for x
    x = 10,693,169.03/3,434.90
  6. Step 6: Final answer
    x = 3,113.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.