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Finding the Fourth Proportional to 2,270.56, 3,146.56 and 2,242.72

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Solution

The fourth proportional to 2,270.56, 3,146.56 and 2,242.72 is: 3,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.56 : 3,146.56 = 2,242.72 : x
  2. Step 2: Convert to fraction form
    2,270.56/3,146.56 = 2,242.72/x
  3. Step 3: Cross multiply
    2,270.56x = 3,146.56 × 2,242.72
  4. Step 4: Simplify right side
    2,270.56x = 7,056,853.04
  5. Step 5: Solve for x
    x = 7,056,853.04/2,270.56
  6. Step 6: Final answer
    x = 3,107.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.