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Finding the Fourth Proportional to 3,109.76, 4,290.75 and 2,270.91

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Solution

The fourth proportional to 3,109.76, 4,290.75 and 2,270.91 is: 3,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.76 : 4,290.75 = 2,270.91 : x
  2. Step 2: Convert to fraction form
    3,109.76/4,290.75 = 2,270.91/x
  3. Step 3: Cross multiply
    3,109.76x = 4,290.75 × 2,270.91
  4. Step 4: Simplify right side
    3,109.76x = 9,743,923.17
  5. Step 5: Solve for x
    x = 9,743,923.17/3,109.76
  6. Step 6: Final answer
    x = 3,133.34

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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.