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Finding the Fourth Proportional to 2,150.54, 3,202.66 and 2,077.64

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Solution

The fourth proportional to 2,150.54, 3,202.66 and 2,077.64 is: 3,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.54 : 3,202.66 = 2,077.64 : x
  2. Step 2: Convert to fraction form
    2,150.54/3,202.66 = 2,077.64/x
  3. Step 3: Cross multiply
    2,150.54x = 3,202.66 × 2,077.64
  4. Step 4: Simplify right side
    2,150.54x = 6,653,974.52
  5. Step 5: Solve for x
    x = 6,653,974.52/2,150.54
  6. Step 6: Final answer
    x = 3,094.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.